ohh yeah, true. I forgot about the short air bomb.
Better damage, your opponent can't backdash to get out of Cyrax's setups, you will be able to perform better your rushdown...
Some very good corner combos:
Meterless: something on the ground except F1,3,1 or B2 - net - air bomb - F4,3 - teleport backwards (this one you can also use when you are near to the wall) - NJP - B2 - S4 - 1,1,4 or 1,1,1 - short ground bomb or saw or a B2 into a deep NJK into bomb
F1,3,1: F1,3,1 - net - short groung bomb - F4,3 - walk backward a little - D2 - run - 1,1,4 or 1,1,1 - short ground bomb or saw
Meterless after the short ground bomb: B3,D4 - jump back punch - run - 2,1 - 2,1 - 1,1,4 or 1,1,1 - short ground bomb or saw
One bar after the short ground bomb: B3,D4 - jump back punch - run - 2,1 - 2,1 - 1,1,4 or 1,1,1 - EX saw - B2 - NJK - short ground bomb or S4 into saw
EX saw: something - EX saw - NJP - B2 - S4 - 1,1,4 or 1,1,1 - net - short ground bomb - dash forward - 50/50 or NJP or short ground bomb - F3,4 - walk backward a little - D2 - F1 into saw or F1,3 into a bomb
Edit: you can abuse of his 50/50s and counter-pokes when you put your opponent on the corner. Both regular and EX saw are safe on block and they're hard knockdown on hit... so... you can abuse of his 50/50 into regular saw into more pressure, or 50/50 into EX saw (safe on block + still unreactable 50/50 that leads into a full combo into a bomb setup). Doing his pokes into regular saw and EX ground bomb are GREAT counter-pokes, seriously.