Re: Give it up, Google
PWAs are an open standard and are utilised by every major mobile browser to some degree - admittedly Safari is slow to the party but it is always generally a few years behind the curve on the latest standards.
In reality it is far easier for Google to make money by having apps in the Play Store than it is using a PWA. In the Play Store they get a nice chunk of the initial sale and any ongoing in-app purchases, it is also far easier to incorporate Google's advertising system. On the web they get no money, can't dictate your browser and it is a lot easier to insert advertising engine of your choice.
Biting the hand that feeds IT
