Ok so firstly, as much as I understand you've done this from best to worst, I have to alphabetize it...
(I also corrected a few mistakes)
Aquaman 5-5
NW has better pressure, footsies, and zoning but lacks AM mobility. Am can effectively get around staff zoning and can punish hard on whiffs. Keep him guessing by switching it up and get your timing down with trip guarding jumps. 60% staff 40% escrima
Ares 6-4
NW doesn't really need to move. Ares pressure can be tricky but in general staff d1 might single handedly make this annoying for him. Zone with caution and watch for god smack and tele. 80% staff
Bane 5-5
I used to say 6-4 but Bane is just too good. 113 and wingdings are his saving grace. Learn when to use both and be ready to punish his whiffed specials. Watch his venom. 60% escrima 40% staff.
Batgirl 5-5
Footsies are in NW favor but mobility and damage are in hers. Careful switching from escrima to staff is essential. Jump back 1 in staff is your best friend. Oki her from sweep distance or farther. 80% staff 20% escrima
Batman 5-5
GS goes under his trait and keeps him from approaching easily so use that often. If he is jumping in after trait you can j3 wingding for quick and easy damage. Push block when he pressures you with trait and zone him to keep life lead. 80% Escrima
20% staff
BA 4-6
Still a beast that outdamages and outfootsies most of cast. Bird Adam with meter is a pain in the ass. NW has options but it isn't easy for him. 90% Staff. Best in jump distance range.
Catwoman 6-4
She dominates escrima so switch cautiously but switch ASAP. I like jump 1 vs her due to start up and downward hitbox. D1 staff spin beats her cat dash and allows you the chance to do chip and force her to take risks. I play very lame 100% in staff besides the occasional knockdown into gs.
Cyborg 3-7
Isn't it obvious how bad this is? Iafb and gfb zoning own him. Cyborg can use his pressure to gain space as well up close making everything a guess and a risk for NW. Interactables are stupid. Escrima
Deathstroke 6-4
Staff oki I feel wins him the match. I can easily blow up all ds wakeups while zoning is pretty even. Watch for mb shots and don't get put in the corner against ds. This could be 5-5 and I wouldn't be mad. 70% staff
Doomsday 6-4
Online this is a bitch because I have to be patient and block (impossible). Offline I can stuff his options with staff oki. NW has the + frames he needs to keep DD out. 90% staff
Flash 5-5
Poke with quick Normals like staff 1 d1 1b1 b1. Bait movement and punish. I like to push block so I don't have to deal with 50-50. Switch often but stay mindful of your options and punishes in each. 50/50 in both stances
Green Arrow 7-3
NW wins in both stances fairly easily. The struggle is real.
GL 4-6
Zoning with smart trait usage is problematic for NW cause you can't touch him. Recognize when he is and isn't in trait and use his patterns against him. Learn how to block his mixups on knockdown and oki effectively. 60% esc 40% staff
Grundy 6-4
Run and don't get grabbed. Lol staff might be best but escrima works too.
Harley 4-6
Damage is great and zoning is very difficult to get around. Her 50/50 are hard to react to also. I might change it to 5-5 but right now I feel like her zoning mixups are hard to read and move in on. 90% Escrima
HG 4-6
Understanding when to move and when to punish is counter-intuitive to every other character in the game. Learn how to oki and punish her wakeups. 60% escrima 40% staff
Joker 6-4
Footsies and zoning smart are the most important things, but I feel they are much stronger than Jokers options there. I switch my stances 50/50.
Killer Frost 4-6
Her damage is super underrated and with her 50-50s she can be very dangerous...parry wtf? Oh and her projectile is damaging and pushes you full screen. I tend to stay in staff on the ground but I honestly don't have enough MU exp here.
Lex 6-4
NW can win zone war and almost always get rid of his trait before he gets in. Trip guards and FG are very important. Fg goes through his body if he dashes toward you with trait leaving you safe and him taking damage. Keep zoning. 60% staff.
Lobo 5-5
Footsies are about even and his damage is crazy. He can punish regular wingdings with shells so you have to zone very carefully. Don't let him in. 90% escrima
MMH 5-5
Staff wins footsie war and zoning war. Mmh has interactables. Learn how to block his ghetto resets and bullshit hitbox teleports and the match is surprisingly even. NW has great post tele options with Staff spin and gp mb. 90% staff
Raven 5-5
Interesting yet super annoying MU here. In staff you can't do anything against constant projectiles except 4 gs or work your way in and mb b3. You can trade well if she soul crushes on block but you got to wait. In escrima gs goes under projectiles but gets bodied by reflect and sc. Stay switching and win the zoning meta. 50/50 both stances
Scorpion 7-3
Staff d1 punishes everything known to man in Scorpions world. Flip kick both teleports, b2. It's hard for Scorp to get both damage and momentum unless you just haven't played much Scorp. 90% staff
Shazam 7-3
You outfootsie him everywhere making him have to be reckless to get in and get damage. Similar to Scorp you can punish all his advances for big damage so just be patient and win. 90% staff
Sinestro 4-6
Not hard for him to get out trait which ends the game. Only way to get in is to stay on the ground and dash cautiously around FB. Using GS, You only get 1-2 dashes depending on distance. Don't get greedy. Clash and transition intelligently, and avoid his trait when ever possible. 80% escrima
Superman 4-6
This could be 5-5 honestly. His zoning is easier to get around these days and his footsies are not godlike. F23 breath and f2 breath can interrupted by 113 both mid screen and corner making his pressure not as good. He has to zone to win. Watch out for divebombs and get used to moving cautiously. 60% staff 40% escrima
WW 5-5
I love this MU. Staff beats lasso, shield beats staff, escrima beats shield, lasso beats escrima. Life lead changes this but a close match will have both players trying to get the other stuck in one of the stances theirs counters at a given time. Staff lasso footsies match is very fun and tends to be what happens most often due to comfort of WW players.
Zatanna 4-6
Her zoning is a huge problem and her mixups and resets can be huge. Best to get momentum early and keep pressure. Faint with d1 to bait movement and be ready.
Zod 3-7
My most common MU. Interactables destroy NW here and make the damage game weigh heavily in zods favor. Zoning isn't really the issue...in fact if Zod only zones without interactables or trait mixups, NW can win the zoning war. Rare though. 90% escrima
You forgot the Nightwing matchup
I agree with the BG and WoWo numbers though