To be honest I've not found the Galaxy Store to be intrusive.
Is your Galaxy Store sharing information with others i.e marketing from Samsung ? I belive you can turn marketing Off in your Samsung Account.
Most apps including games all seem to need access to the phone's systems etc more and more these days which can raise an eyebrow when looking at all the permissions they seem to need.
Just look at when you access a website for the first time and the first thing it wants to do is get you to allow All Cookies !
Personally I'm unconcerned.
Current Phone > Samsung Z Fold³ 5G.