It's `searching your computer`, period. The extensions are part of my computer. They don't exist in my refrigerator.
> Nowhere have I defended what LinkedIn is doing.
Yep. You feel the same taste of your own. You are accusing the site being hyperbole and alarmism. I'm accusing you being defendant of linkedin.
It is equally “searching your home network” as it is “searching your computer”. This is not searching your computer. It is searching your browser. Being contained to the browser is completely different than having access to the OS behind the browser.