I’ve always hated that argument that “all art is political, because the existence of the art, the freedom to create it, the ability to share it, etc is all political”, because it fails to acknowledge anything specific about the artwork in question being political. By the same logic literally anything existing is political because its ability to exist, or to be destroyed is political. But some random rock 78 miles off the shores of California in the Pacific isn’t going to be meaningfully political in any way that matters to almost anyone ever. Therefore I think it’s fine to consider some things (such as some works of art) not meaningfully political, also often just called “not political”.
I think some silly pieces of art can be reasonably interpreted as political in some regards (drawing dicks around potholes), but sometimes it’s just there because someone thought it would be funny/look nice/was a mistake.
From what I’ve heard, it can affect your future job prospects, yes. I’ve heard of some companies in Japan that would try to find out which company you’re trying to leave them for in order to lower the likelihood you’d get hired there if you don’t leave them “the right way”. But I don’t have any personal experience in this and I haven’t talked about it much with the people I know in Japan, so this is just hearsay you should take with a grain of salt.