General questions about nominee services.

While I dont have an immediate need for a company with nominee services, I have been reading forum threads about this and note that they are used mainly for anonymity and can be expensive depending on the country of incorporation.

My questions are:

a.) Ive seen that some banks dont like nominee directors in their applications, specially street banks. What do they see in paper that is so obvious the that something is hidden?

b.) IIf I ever need a nominee service, how do i know the director or shareholder nominee (which I think can even be some homeless citizen that sold his signature)...doesnt take funds away from the companies bank account and run with the money? Or simply change their mind and send a petition to the company house to close the company?

c.) How do I know that the nominee director and shareholder are not in some blacklist, or they have been used 100s times that banks can see it suspicious and simply not open an account with?