PWAs don't integrate well into the native menu system, like say MacOS. This is much more noticeable on desktop. On mobile, it's fine.
The access to the file system is more limited (can be a feature rather than a limitation). Again, this is more noticeable on desktop as mobile apps tend to be heavily sandboxed.
Specialty hardware access like bluetooth, USB doesn't work. Direct access to the network stack or information isn't available, etc etc.
It's much more popular to use a wrapper around an HTML5+JS+CSS stack to overcome these shortcomings. Electron, Capacitor, etc.
Buggy -> same demonstration of a lack of investment, not fundamental to the technology.
Slower -> I only see this "objection" on hackernews. Every user I talk to just wants their stuff to work, speed doesn't even make their list of concerns.