Then let happen what needs to happen. The company does not have a simple and cheap solution for fighting bots. Maybe it is better they don’t have such protection.

Then don’t recommend it to others. Keep being ashamed of the cute, anime-style picture just because everyone else is embarrassed by it. But that’s not how the world’s problems get solved.

Then point out that their way of thinking is unprofessional without saying so directly. That’s what I would do, at least.

There is a way to use something like Anubis without having to deal with the image. But you need to handle it professionally.

If they can’t stay professional, be the one who does.

Probably not an answer you’d like to see: I am using FeedFlow which supports bookmarking articles, having FreshRSS as the source of truth.