I’m definitely having this trouble, especially in the notification section. There are unlabelled buttons and it gets stuck in a loop and I don’t know why.

Thought:
Have you made sure screen recognition hasn't been accidentally turned on for the Twitter app?

No issues on my end, but I am on the iOS 16 beta. That said, I'm thinking about switching to a third-party client because the official client is just kinda meh. You might wanna try the same. Twitteriffic and Spring are both favorites among blind users

Is twitterific or tweetlist still around I loved those.

Seconding forgetting the official Twitter app and using Spring instead. I kept having trouble with Twitter not reading things or skipping around because of the ads too (although this was months ago). I gave up and got Spring. I think you can get it for $5 if you want the bells and whistles but even the free version of Spring is great.

I'm not having that problem with Twitter, but I am really enjoying Spring. It's not cheap if you want the version with all the features, but wow is it ever good, and customizable. You can even change the number of tabs that appear on the bottom, make the tab bar scrollable to fit even more things in, pin lists and profiles to it, and change the order of rotor actions on tweets, much like Dystopia if you're using that. They've done a lot of great work.