One day they will accept. It's just a matter of time now. The first steps towards adoption they have already done. For an example, banks in my country offer Bitcoin as investment alternative, although you can't access your Bitcoins directly, without using the bank. However, it doesn't have to be like this forever. Soon I believe they will become less strict, allowing customers to deposit and cashout their BTCs to external addresses, although some kind of KYC must be implied along the process.
The workers at the bank can individually accept it but the bank it's going to be hard and another thing is that Bitcoin been a large investment male's the banks interested because you can purchase usdt directly with your card to buy Bitcoin and one way or the other the circulation of money around Bitcoin is very serious. And the truth of it is that Bitcoin can not do with money and money is under the custody of the bank.
No matter how independent Bitcoin is they still need the bank because of conversion and many more so they both have there role to play and this is why I don't even see this as any big deal because even if you are spending Bitcoin it's going to be calculated in fiat so money is from the bank so it's not a new thing.