I can think of a couple situations, one being if you live in a place where abortion is illegal and you’re talking to someone else/someone who knows someone who wants to get one. Doesn’t matter if you did nothing illegal but now you’ve likely gotten them in hot water. Another is if you’ve loaded a website that hosted something illegal unintentionally, now you have to explain why that’s in your cache/history/whatever (lemmy had a big problem with CSAM being spammed on some instances). Innocent people get put on trial/sent to prison for weak evidence, and your phone is an immense amount of information for the cops to look through and see if they can make anything fit.
I find this happens any time I engage with anything anyone on the right also likes watching, like a gun channel, or a non-political video from a right leaning channel. I think the algorithm is just saying “I saw a republican watch this once so if you watched it there’s still some chance you’ll engage with this right wing content.”
I think it pushes it so heavily because it’s a gold mine (to the algorithm) since content by those channels is so heavily consumed.