Her st.L doesn't chain into st.H, Fanatiq specifically demonstrated this. It seemed like it should be able to chain, it's off by like 1-2 frames at best. Just write out that cr./st.L should be able to chain into cr.H/st.H.
We can debate assist call with Float. Double dash is 100% no though. At least we have a basis for assist call, double dash is only available on Dante as an install hyper. She already has absurd mix ups, this would make her superior to even Magneto.
My Typhoon change is the following:
L/M versions: Improved start up, improved recovery, go all the way up at super jump height, do not OTG
H version: Same frame data, go all the way up at super jump height, OTGs and has tracking capability
H version is the assist.
Basically the problem is that improving start up and recovery is going to guarantee an infinite. She has an infinite in LVL2 XF with Typhoons and it's just relaunch with Typhoon over and over again. The reason she has an infinite with Typhoon is because Typhoon causes enough hit stun to follow up with a launcher. If you are improving with the recovery and start up, she will ALWAYS be able to follow up OTG in corner with Typhoon and always follow it up with a launcher. She would just have Typhoon, st.S, j.S, Typhoon etc.
Having L/M versions be faster but not OTG capable means you can still use the move for neutral game and zoning but it won't affect her combos. H version tracks so that she can combo with it but H version is only used for full screen zoning because it's so super slow. H version would just be the assist and it functions as the point version. It would be slow but the huge hit box, hit stun and tracking/OTG capabiltiy will still make it very useful.