A PWA on iOS is just a cached web page. Safari remains pretty crippled with regards to the APIs (bluetooth, usb, filesystem, etc...) that make local apps attractive in the first place. Apple is fine with letting people cache web pages, they're not fine with stuff that might displace the app store.
And for that I'm quite thankful, if all the stuff that apps could do were possible on the web it would make the web a far far scarier place than it is.
I avoid apps as much as possible due to all the nefarious tricks they play, even with all the sandboxing and review they go through. Without those constraints, I can't imagine the hell that we'd be in.