as funny as that may be, i don't think inserting current trends would be a good idea. i know a game that has characters watch game of thrones as plot device. now GoT is not exactly hated, but nobody wants to talk about it anymore and replaying that part will always make you kind of cringe at it. also in a few years something like this will make the game look dated.
i would advice against putting any current trends in anything immersive for that matter, as if not for being cringey or looking dated, it will definitely take you out of the immersion.