again, nobody will never be able to send a bank wire by ONLY having a bank's name.

Bitstamp is having this info on their website. they even included their bank account number(all the banking details).

There is NO data about your banking details on LakeBTC.com. I don't want to send my documents to a company who is hiding the banking information.

I want to know which bank you are using so that I make my calculations and then to decide whether I am wiring you money or not.
Maybe I don't like your banks or maybe I have bank accounts in the same bank and maybe I am using the same payment processor.

I want to know all these infos prior to verify my account with you, a company who is hiding its bank accounts.

How can someone use a bank's name only in order to deceive other people? The answer is "he cannot"

So, you admit that you are not transparent and you don't want to provide a simple information.

Since when the banks's name or  payment processing partners is a secret ?