This is exactly the statement that's required, given the confusion and irresponsible politicization of deposit insurance. Shareholders lose 100%, depositors get 100% of their deposits back. It's a simple situation, and the former point (as opposed to the solution during the GFC) counteracts moral hazard.
If depositors get 100% back (I assume the government pays the difference between selling SBV assets & the deposits)...then what's the purpose of saying "FDIC Insured up to $250k"? It's a moot then isn't it? I don't need to go through the hassle of distributing my money anymore? Edit: I read the article. Yellen says "“But we are concerned about depositors, and we’re focused on trying to meet their needs.” She says NOT…
I'd guess hesitancy to immediately declare full guarantee of funds is also due to these concerns (although there may be other reasons as well). The sweet spot here maximizes the appearance of consequences while minimizing actual fallout.