Your device tends to need to be causing problems, that the FCC then go and track down, and then come back to you. That is (hopefully, depending on the kind of device) extremely unlikely.
As for Ali stuff, probably lots of it is not tested but still comes with a FCC label - but if it is shipped from overseas, who is going to take responsibility for it? Nobody… So there is nothing they can do except fine the person who bought it if it’s really causing problems (and usually I doubt they’d even do that if the user wasn’t intentionally doing something they shouldn’t have been, they are just told to stop and maybe the device would be seized/ destroyed)