Man, at this point you should think about your treat model. Are you a high profile target?
If so, choose security over convenience, but if you only want your privacy, you probably can have a comfortable balance between security and convenience.
Another issue with Google Play is that there's nothing stopping the developer from pushing out an update that doesn't match the published source. It isn't tied to GitHub or anything.
Developers with apps on Google Play are frequently targeted with buyout requests from scammers looking to get malware to an existing user base. Or even if it's not explicitly malware, it could be closed-source.
For example, the "Simple Mobile Tools" app developer sold their apps a year or two ago. Now they have ads, in-app purchases, and god knows what else. If you had installed them from Google Play, you would have received these updates automatically. Those new versions don't exist on f-droid, naturally. Anyone who was using them should really uninstall them and install the "Fossify" forks from f-droid.
Every developer ID publishing on Google Play is potentially for sale. There are no real safeguards against this, and you might never know. At least with F-Droid it's verified as open source and malicious (or just plain crappy) updates can be identified and dealt with, either by f-droid maintainers or by end users.
Oh yeah I agree with that and s good point! Google Play Store is convenient but... Well I circumvent it where possible, more due to the tracking mania but your points added to my sensitivity,so thank you!