Things that act like apps also can’t be adequately prevented from compromising the general data privacy of the population. What this means is that it doesn’t matter very much whether your or I have mere preferences for something to have rich app-like functionality or not. Our wanting of it does not play a role unless it can be made verifiably secure and not abusive of user privacy rights. So far, general web applications cannot be made verifiably non-abusive of users’ data privacy, so we must only focus on websites as purely structured documents with no app-like capability.
I sure wish companies wouldn’t abuse data privacy so we could instead care about user preferences for app-like functionality, but we don’t yet live in a world like that.