I have a logitech mouse and I'm pretty sure I was asked whether to install the logitech app, it didn't do it automatically. Same for the dell mouse I have at work, it asked to install dell somethingorother, which I declined, and it left me alone.

Anecdata from two days ago, after installing a fresh Windows 10: after inserting the dongle, a definitely non-native (styled by Logitech) popup asks me whether I want to install their app. I decline. One reboot later, the app is available in the start menu.

Edit: To be fair, I immediately uninstalled it, so I don't know if this was "just" a link to their installer app or the full app. But something definitely got downloaded and moved to a place I could not have moved it myself without accepting a UAC prompt m