>caring about privacy
Use their mobile websites instead, you can use some sandboxing tool like Anker to open PWAs as app too.
Don't know of any alternative and its better nobody use it even if there was
Use Share via HTTP
Also use Aurora store instead of play store and keep away from any app that is reported by Exodus, try disabling/uninstalling google apps and OEM bloatware.
Ideally you should stop worrying about privacy when using a phone because they are by design homing devices but whatever.