Definitely. The last thing anybody wants is to run an application on a Mac that looks and acts like a Windows application. How could you be proud of that?

I don't think that's even remotely true.

For example: Photoshop, Autodesk Maya, Da Vinci Resolve, Premiere, Ableton Live, and a very long etc. Those are not your crappy Electron apps, but industry standards.

I find people generally overplay the "all apps must look native on my OS" card as an argument against PWAs. Yet they are often very happy using Google docs for most of their day to day work... I personally like the fact that a web app looks the same across all OSes. I find that is a better type of consistency to aim for, in that if someone changes their OS, they don't need to relearn your app's UI.

In terms of the web one could use different stylesheets for the different platforms... the business logic can stay the same. OnsenUI and ionic are providing just that.

So on Windows it feels like a Windows app and on Mac it feels like a macOS app? All of the widgets work the same as native controls with accessibility devices like screen readers?

It's only about expectations.

When you open your web browser you suddenly expect apps you access there to be the same across all OS, and you certainly don't mind them all being different from each other - it's actually a good thing.

So why shouldn't we expect the same of native OS? I know I care only about few details - like native notifications instead of custom ones, native close, minimize, maximize buttons etc.