Says who to which part? The part about where the money is coming from (other banks) is just factual; it's the structure of the rescue action.

If you mean the question of whether that will be passed on to the depositors at those other banks is not based on a factual thing you can point to, but it's just what happens, it's how businesses work; you can't charge them money without expecting some kind of pass-through to their customers.

We are talking about a single assessment of 5 basis points of deposits, which is what was assessed in 2009 after the 2008 crisis. This is unlikely to be a major cost for banks.

I dunno, it seems like a pretty sizable assessment as is. But this also isn't the end of this. There will be an expansion of banking regulations to cover smaller banks, which will incur costs, and they'll have to increase depository insurance premiums a lot to insure all deposits rather than just the first $250k.