It's required by law in the EU to put your bank account details on the web if you run a company.
Here's the guidelines (in Dutch): http://www.vbo-feb.be/files/ondernemingsnummer.pdf
So the website needs to contain the company registration number, the way it's incorporated and a bunch of other stuff, but not the bank account number afaics. Though the bank account number does need to be displayed on invoices.
Do you have any links about this? I don't like to think we have clients unintentionally breaking the law.