ryrona If you have apps losing data when gracefully unloaded from memory, that needs to be reported to the app developers. Simply rotating the screen respawns app activities by default along with many other things. Apps are not supposed to just mark many configuration changes as handled by themselves while not ever actually implementing saving/restoring their state. Browsers are known to not handle this particularly well and that's not in any way unique to GrapheneOS. Other apps generally handle it just fine.
If you open the Settings app, go to Apps, Vanadium, Battery Usage, is Allow background usage enabled?
This isn't really relevant to this.