I'm not even sure what you mean by app store experience honestly. The google play store is such a worthless piece of garbage with a garbage search experience that I have to use googles web search, which actually works, to find software to install via google play.

Conversely I have used a variety of app store interfaces on various linux distros that were quite usable and pleasant with search functions that actually worked.

Here for example is a relatively recent video showing installing software via the Linux Mint Software GUI

https://youtu.be/cNt_D2GyApk?t=218