I think that would depend on what Adofo-Mensah and ownership discuss about a game plan for next year.
If they don't re-sign Cousins or Hunter, there's next to no chance ownership would be expecting them to have a winning record next season. If they're preparing for a rebuild, which only makes sense at this point, I think the GM and coach are safe for at least another season.
If they retain those two, I agree, both GM and coach will face the music, even though I don't think anyone should be expecting anything resembling a happy season even if they did.