I assume you’re talking about the Unifying feature.
I’ve got no direct experience, but there are a few people who say that despite Firefox not being listed as supported, it works fine.
https://forums.mozillazine.org/viewtopic.php?p=14961275
As for the spying, I can see how that could be a concern, but I don’t think it’s too likely.
For convenience, I’m guessing they’re using a web interface to the settings in the same way that your router does. They’ve made a Chrome plugin, so that’s probably the route they want you to take because they know it works.
Logitech is a global brand, an they’d get into a lot of trouble in a lot of countries if they were gathering keypress data etc.
I don’t think the word needs to imply a creator necessarily.
“Clouds are created when water vapour in the air condenses”.
“Black holes are created when giant stars collapse”.
I’ll concede that going on to question political motive implies a creator, though.