Sure they don’t. Just be aware that if you’re using public trackers you can appear here, as some of the peers track the IPs that appear in the swarms:
https://iknowwhatyoudownload.com/en/peer/

Can you confirm that you have ‘Show Notifications for New Posts’ enabled in your user settings?

Non-paywall link:
https://archive.ph/qO8Hi

I’m using GrapheneOS for added security and sandboxing, but I feel that this is a bandaid solution.