I probably wouldn’t bother. I can think of two scenarios you might get spied on.
Through your browser you’ve granted a website access to your webcam (Zoom etc.) and left a tab open. Maybe it could activate it when you weren’t expecting?
Someone has used a vulnerability to take control of your computer to the degree it can access your webcam directly. Desktop linux software doesn’t usually have meaningful isolation between software running as the same user, so at this point they can grab all your data, passwords, take screenshots, etc. and the webcam is just the cherry on top.
I expect most people don’t do (1) very often, let alone for sketchy websites, so IMO it doesn’t make much difference either way.