It seems that it requires a system reboot in order to function, but I wonder if it could just restart itself like the Network can.
KDE Plasma or KDE linux?
Mounting is usually done by the underlying linux distrubution. KDE Plasma and KDE linux have a GUI interface to help with that.
KDE Linux:
Check your linux distrubution for how automounting is configured.
KDE Plasma 6.7.5 on CachyOS
Then start here:
and
So it’s not something solvable on KDE’s end.
I thought that since I received the notification about the pendrive (that has a password) being connected while it couldn’t be accessed meant that it was a KDE issue.
This would have been handy information to have in the original post.
However, generally no. Many KDE GUI elements are simply interfaces to underlying linux distro mechanics. I still don’t have all the details of exactly what you were doing or trying to achieve, but I expect the mechanics of what you are experiencing are not KDE. See the links I provided to understand how it all works.