As i'm no whale i haven't done any OTC trades but i would guess that it comes coupled with some extra security reassurances that exchanges don't offer. Or they get a better price when buying
I would say that they have less security, because not all OTC trades are done on platforms where KYC/AML requirements are needed to do transactions with other traders.

I think the main reason why some whales use OTC platforms and not exchanges are the "red tape" and "strict Tos" hassles with most of these exchanges.

A lot of people do not trust exchanges after MtGox and many of the other exchange hacks that took place over the years.