[downtide]

I like the categorisation aswell as a name (and version).

In your desktop environment, 'Open web browser' (as an action), can be associated with whichever browser you prefer. And perhaps a context menu on that to choose between many.

I prefer something like: Gnome file manager: 'Nautilus', to the browser: 'Web'. How ghastly.

To differentiate between many, like both of Windows' web browsers: Edge and Internet Explorer. You could say Windows web browser Edge. Or Edge; Windows' web browser. Windows itself is a confusing name, but that's another conversation.