Possibility to install isolated PWA's

I do not understand why this is not by standard, but if I install a PWA it is not in an isolated environment, instead it uses the standard browser profile.

So if I logged in to a website, I’m also logged in my standard browser session.

So a feature or setting would be nice to have the possibility to install PWA in an isolated environment or profile.

Workaround:
Creating a new profile set it up with extension and settings you want; and then create/install from there the PWA.