The Apple Watch will automatically install the watchOS app for each iOS app you install on your phone by default, if a watchOS app exists for the iOS app. I don't know if the auto installs count towards user visits to the watchOS App Store. I don't think I've ever used the watchOS store, and my watch is full of apps.

https://support.apple.com/guide/watch/get-more-apps-apd99e3c....