Payment by bank transfers doesn't at all work like credit card payments since you don't give them some kind of information which they can then use to get the money from you.

Instead THEY give you their bank details and you order your bank to transfer money to their account (a process made ever more easy over time and pretty straightforward now with smartphone bank apps which can read QR codes with their bank info).

At most they might get the number of the account the money was transferred from and no further information about it, the kind of information that, if leaked, is pretty much useless (can't be used to get info on who owns that account or how much money is there, much less to get money out from that account).

Maybe some countries have really bad security and secrecy laws around bank accounts, but in those countries in Europe I lived in, the only one where that is maybe the case is Britain, whilst in the rest knowing somebody's bank account number is useless.

The really risky stuff is Debit Cards which are directly linked to your bank account (for example VISA Electron) as those have none of the protections of Credit Cards and do have card data which can be used for distance purchases and hence if leaked would allow access to your accounts. Electronic bank transfers are something completely different from this.