Would you ban all propaganda? Russian propaganda? Propaganda from countries engaged in illegal wars? How many social media or news sites survive? Heck, how many sites that allow comments and user interaction survive?
Yours is the "think of the children" argument, makes you feel warm and fuzzy when it aligns with your interests but you won't have a leg to stand on by the time it's used against you. Banning is just sweeping some of the trash under the carpet. The ones wielding the ban hammer don't care that most of the trash is still out in the open (social media?), they just need to open the door to arbitrary banning. The ones applauding the ban hammer are lacking the same critical thing that would otherwise handle propaganda and misinformation very well: education.
If you want your child to not smoke you don't just hide the cigarette pack on a higher shelf, you teach them what smoking is and does.
Meanwhile all the RT type crap is flooding social media under thousands of names. But that's fine as long as enough rubes are tricked into thinking banning one site did anything to solve the propaganda issue.