Shortly after the news about Noble Bank, reports leaked that Bitfinex had acquired a bank account with HSBC. Within a few days however, that account was supposedly closed and Bitfinex shut down fiat deposits. Rumor has it that Bitfinex set up the account through a shell company and didn't properly declare what it was used for, and as soon as HSBC got wind of it, they shut it down.
Wells Fargo cut them off in 2017. I know they were banking with ING earlier this year, but given their current woes, I'm guessing that's over as well.
Bitfinex has no luck with the banks, or banks just do not want to do business with them for some reason. HSBC is known as a bank that does not care too much for legality nor for the origin of money so it is really strange if it is true that neither they do not want to do business with this exchange.
Today Bitfinex post about Improved Fiat Deposit System: A Distributed Banking Solution , deposit should work again, but there is no mention which bank is behind them this time. Maybe this "distributed banking solution" is what is described here : Will the Distributed Banking replace the Traditional Banking System?