I use Firefox with "firefox-pwa" extension and I have zero issues with webapps
Additionally, Floorp also natively supports webapps
I actually tried floorp. It was a pretty good browser.
I don't think it's just Plasma 6. I've had similar issues for a couple years when I've attempted this. One of two things happens: the icons revert to the default blank page, or the pinned app disappears entirely. I have an old Chromebox that I flashed and installed Neon on, and I wanted to make it look like Chrome OS, but I've never gotten the task bar to stay looking right.
I'd take a look at those .desktop files in ~/.local/share/applications/
or /usr/share/applications/
Is firefox an option?
Chdir is a function within C/++ so it's most likely a problem with Chrome, as I'm fairly certain Plasma would be using <unistd.h> properly.. Maybe perhaps installing perl-file-chdir or perl-cwd-gaurd could solve this, but I wouldn't bet on it. Wouldn't hurt to try at least.
KDE
KDE is an international technology team creating user-friendly free and open source software for desktop and portable computing. KDE’s software runs on GNU/Linux, BSD and other operating systems, including Windows.
Plasma 6 Bugs
If you encounter a bug, proceed to https://bugs.kde.org, check whether it has been reported.
If it hasn't, report it yourself.
PLEASE THINK CAREFULLY BEFORE POSTING HERE.
Developers do not look for reports on social media, so they will not see it and all it does is clutter up the feed.