Right, because for a very long time (and maybe still) PWAs have been much closer to terrible websites than good apps. They generally don't have the same UX properties as real apps.
Remember when the iPhone first came out and web apps were the only option and they sucked balls? That never really changed. People still find mobile sites with maps that are impossible to use. They don't expect that from app store apps.
And if it's just a web site, why do you need to "install" it? A link is surely sufficient?