This happens all the time--recently, a podcast app was removed from the Play Store because it could be used to listen to content which didn't meet Play Store guidelines. The only way to fix it is to post about it and generate enough outrage that Google hears about it and can undo the ban.
https://www.macrumors.com/2020/08/26/antitrust-investigation...
i'm not familiar with the other apps on the list but i expect it might be some issue like promoting such instances in their registration screen.
also interestingly, the instance OP links to qoto.org is known within the fediverse for being full of creepers, because they've implemented a partial defederation and block circumvention. if you have an account on qoto.org, you can follow users who've blocked you, on instances that have blocked you, because it will recognize such, pull a list of posts via RSS instead of via activitypub, and fake an activitypub actor internally to generate posts for your feed. in their defense they have said that the posts are public anyway, and the user could just browse the public feed with a web browser, but it's clearly a bit different when posts from a person who has tried to block you appear in your feed normally as an item you can interact with. it's certainly against the spirit of consent.
This is not true. It is just the personal fork of tusky by a1batross. It also contains improvements to the pleroma integration.
https://old.reddit.com/r/Android/comments/r3dhg/reddit_is_fu...
So the issue isn't so much that content is accessible, it's when the content is more integrated with the app.
In the case of the Fediverse apps they can't block anything because firstly there's no resources to police it, and secondly it's kind of the whole point of federation to let the user see what they want without getting in the way.
https://www.newsweek.com/4chan-bans-images-netflix-film-cuti...
So they can allow the worst kind of hate speech, porn and gore, but ban a harmless meme because mods find it annoying. So the only rationale from banning images from "Cuties" may be "because mods don't like it".