I would not agree that it is exactly the same thing, because in some countries client deposits in banks are insured by the government, so although I don't know if that amount varies from country to country within the EU, but in my country that amount is EUR 100 000. I don't think any crypto exchange has anything similar, and what I know is that they have secured part of the client's funds that are in fiat, but if a big hack happens, the only thing clients can hope for is partial compensation, and that after probably years of waiting.
In my country, all I have known in reality is that if a bank is robbed, you can just still go to another branch nd withdraw your money. Withdrawkng would not even come mind because only one branch is robbed out of many which can be up to it more than 100 branches as my country has 36 states Lu's including the federal capital, just an attack on a beach is nothing at all.
I remember a time when the central bank made stringent rules that forced many banks to closed down, get customers money were safe, the worst that happened is that some banks merged, to be able to met the rules set by the central bank. Yet, customer funds were safe.
The worst are exchanges, nothing to compare about them with banks in case of securing. I have my money in bank and I am thinking that the m ok ney is secure, but that does not apply to exchanges.