What I said was the match-up felt even when sinestro had no trait up, this was pre-patch when his b12 was not a mid and he could be combo punished for 40+%. I never had a problem getting in on sinestro offline and up close it's easy to open him up and keep him close he could lose a life bar pretty fast. With trait it was a whole other story and def a 6-4. Now post-patch it's def worse since he actually can play footsies now and start his vortex off a safe string.
Batgirl, I feel like GL can compete. If GL gains a life lead he can turtle quite well, what's batgirl going to do chip you out with that slow projectile? She has to go in and this is where b1 and lift turn Godlike her OH and low starters are not as fast, you can also bait a teleport and that's a big punish. If she gains a lifelead she can zone you but her zoning is pretty weak compared to GL's other MUs. I still have yet to be beaten consistently by a batgirl player usually I end up winning sets vs them. If you feel like GL loses you're welcome to play me so we can run the match-up I need the practice.
Come to think about it online it's 6-4 she has the advantage cause of delay she can get away with stuff, sometimes I can't even punish teleport lol. Some of GL's super even match-up like DS, Batgirl, Superman turn bad online, and bad MUs like Martian/Zod/Zatanna turn even worse.