antonymarc it is possible to get the users location and send notifications with a PWA, so that's not that much of a consideration.
There are an awful lot of companies who think they need "an app". Similarly users will search specifically for a native app to provide some function they want, because that's the mindset. In reality a PWA, or just a normal website can provide what they need. A PWA tends to take up a fraction of the storage space of a native application, and a website will use nothing ( or very little ). It's an attitude I personally find frustrating, and hope that it can change. But it will be slow if it does.
The downsides of web apps generally comes down to monetisation. It's generally easier to get people to pay for a product in the app/play store than for a web app. So your left with the likes of advertising and voluntary user support ( patron or similar ). Companies like Brave are working on alternative means for web apps and content creators to earn money, but it still early days.