I don’t think anyone cares, no, because to them it’s a meaningless technical distinction.

They shouldn’t have to care. I think they want to install an app. If it were equivalently easy to install a webapp vs native most users would be happy with either. But native is a two-tap process, web is a mess.

PWA is also a two-tap process - and with less cognitive dissonance. No reading reviews, terms of service, privacy docs. No "onboarding" workflow.