I don't see the point. If you dislike a site , why go to it at all?

seems perfectly clear to me. As outlined above.

If you want to point out some egregious mendacity/stupidity like the crap that flies around about Brexshit, you can show people who would wish to know what is being said in their name, yet not add any advantage to the perpetrators.

FWIW I never "like" etc Fakebook posts that aren't generated by family and friends themselves. The cute cats are trawling for info on you, like "what was your first pet's name?" (banking passwords?), and "solve this puzzle" - amusement hiding data collection. I may respond to the latter with "clickbait", so if there are data on me it logs me as a "outlier/wary" type.