There will be, I agree. Bioware has been in a death spiral for awhile now, since Anthem. My only disagreement really, is the timing.
I can 100% believe Bioware is in all hands on deck mode for DA4, and that is usually enough for most corporate stooges to stay their hand. You can be sure that whoever the head of Bioware is is currently promising the moon to the VP in charge, irregardless of the actual situation on the ground. Remember, suits don't look at Twitter; they listen to whatever the middle managers are saying.
So, the most likely timeline is that Bioware is given enough time at least to push out this turd (no delays permitted). Once it bombs hard, and there exist hard evidence that this is yet another failure (sales figure, negative press etc), then the real axing shall begin in earnest.
I would say that the death spiral started with
Mass Effect: Andromeda. Games before that following EA purchasing BioWare had flaws, but they apparantly weren't enough to stop the momentum and popularity BioWare had. They had a servicable level of writing, voice acting, and weren't broken beyond repair, even if their RPG identity was slowly being stripped away and the steadily-creeping SJWisms.
Dragon Age: Inquisition was their most successful title; it also was the beginning of the end for them.
ME:A, at least in my opinion, was the point where the quality of the writing, performance issues (from using the Frostbite engine), support for the games, care for the story, gameplay, etc. went through the floor. Support for the game ended not long after the game was released, and the same went with
Anthem. Superfans such as GamerMD83 (who married a BioWare employee) started to get bored with the company and stopped covering their games.
And now that all the real veterans of BioWare have left, you now have a bunch of SJWs running the company who can't lead for shit. The only person I have any faith in when it comes to BioWare is
Mary DeMarle, since she was lead writer for
Deus Ex: Human Revolution, and I have no idea if she's enough to save the company.
Just end BioWare. They had a good run, but in the end, we have
GreedFall and its upcoming prequel, as well as other RPGs.