Payslip also strictly p&c.. so no different

offer letter is for bank to roughly know your expected salary.

P&C in this context is relevant to the company lah, e.g. sharing with colleagues  if you use it to buy a BMW or show at mamak/kopitiam, company dont care wat. what can the company do to punish you for flaunting your offer letter in mamak stall?   

banks have stricter policies than companies, it's the trustworthiness for them to keep documents confidential and whether you are deperate to get their cards.

well, that's the little trust u need to extend lor.

some paranoid about giving income documents to agents. some dont care does the "free gift(s)" worth the worriness and paranoia?

if not, just apply direct from bank. via email or online form.