More or less they don’t but given that is what most of the content was coming from for awhile it does end up informing a lot about the characters. Since the films have such a large gap between them you end up with the EU creeping into them since people who work on the franchise usually are people who are familiar with it.
Even in this game Dutch remaining active via Predator blood transfusion is an adaptation of a concept from the comics which was further elaborated on in Predator Concrete Jungle.
Though I should note that the female is actually Machiko who is not a Yaujta. Basically keeping gear on to try and fit in.