>Seems doubtful to me. Native apps just tend to feel better.
That may have being true a few years ago, but now days unless you are really pushing for very specific stuff GPU stuff. With CSS GPU acceleration its barely noticeable for normal UIs. Now there are tons and tons of PWA that is done in a very in efficient way, then you get a really laggy app.
If the theory is that if you do everything perfectly, you can reach the performance of a mediocre native app, then obviously most PWAs are going to suck and opinions will form accordingly.
You don't have to do everything perfectly. Both web apps and "native" apps will be similarly affected by a dev who is terrible at coding. Most people use web apps every day and are not even aware that they are using web apps. Some special interest groups are just very persistent in perpetuating falsehoods and myths in this matter.