I generally archive for sites that are left leaning cesspools, but contain an interesting article ... or some sites where they're ad happy and hard to read otherwise. Now bear in mind though, archive doesn't work with videos, so if an article has a decent video that should be seen, using archive isn't the answer.
Good point about the video links.
Example, I generally archive livescience.com because it has pop videos, plus ppl have complained ads on it drive them nuts on smartphones ... but if the main theme is a video, I can't, so I just run with video links and slideshows.
(post is archived)