I don't think there's anything stopping web browsers to have the same level of privacy features as the apps, is there? Apple, Google and Microsoft owns both the OS and the browser, so there's really no excuse I feel.
However, pretty much every useful app you're using is calling home for some moderately legitimate reason - so I don't think it's helpful to differentiate the two classes of executables based on remote asset usage.
Honestly, if I can’t block network access I don’t see the value in downloading a AirBnB app or just about any other app companies want me to install.
A few years ago when phones were slower the difference was much more stark. It's straight amazing what can be done in a webview now.