I was playing Luna vs. G-Nome and Fiona today and I had a thing happen. Sometimes when I was thrown, I was able to double jump to the other side of the stage before going into knockdown. I still carried the momentum from the throw into my jump and I still went into knockdown and was unable to do anything out of the double jump, so I'm pretty sure the throw still executed normally. I couldn't do it very consistently but I was able to repeat the tech deliberately. I have only ever encountered this in these two matchups, specifically (Luna/G-nome and Luna/Fiona). If anyone can figure out how this works, it could make grab followups a lot more difficult to get or at least force players to change up the timing on their throws. The double jump actually left me far enough away that G-nome couldn't get to me with an aerial before I mashed out of knockdown.
On a related note, I've also been able to start breaking out of grabs with "reverse soups" (we still don't know anything specific about how they work or what to call them) more often as well which has occasionally helped me to escape combos.
Update: I've still only encountered this using Luna, but I can confirm for sure that this works against Anthrax as well, the rest of the cast I don't know. I'm still unsure of the exact mechanic because of the difficulty of duplicating the effect consistently. Definitely worth looking into, though.
It's a shame this only works on throws (and possibly only with certain characters) as far as I can tell, a frame-perfect "jump DI" mechanic could actually be really interesting and would cut back on fear of the game from becoming completely overrun by infinites.