Both Google and Microsoft are both strongly in the "Yes" category here and are heavily pushing PWAs as a future of many types of apps. If a lot of PWAs also want to use .app as their TLD, that serves Google's purposes just fine, I'd imagine.
> Are Google going to be actively monitoring these to make sure the content is related to the .app TLD?
Where's the creativity in that? The internet decided a long time ago that it would rather do interesting things with TLDs than strictly enforce them; use the origins and "purpose" of a TLD as a loose guideline.
What's the harm in a restaurant deciding that .app fits their brand because they have the best apps (appetizers) in town?
Is it any worse than all the startups that have been using Chagos' country TLD .io without having anything to do with the atoll of Chagos? (Which of course is made worse by the funds from .io going to British corporate colonialists rather than directly to benefit anyone in Chagos. How many startups even think of that when paying for their hip domain name?)