From a bank point of view there is no difference whatsoever!
A financial institution has a duty to ensure the origin of funds deposited with it.
I have a bank account and if I give someone my account number (IBAN etc) they can transfer funds to me. The bank doesn't know anything about the person sending the money (they are not a member of my bank)
Does a bank account with you function in exactly the same way as any normal bank account?
Can I link my paypal account to my bank account with you?
Can I set up a monthly direct debit to pay my bills?
Can my employer pay my wages directly into my account?