If you want me to run a particular piece of software, send me a fucking computer. If you want me to be on call on a company-managed cellphone, send me a phone that you can own and manage all you want.
Do not ask me to download, install, or run malware on MY computer or phone as part of the APPLICATION process. If you are the sort of company that thinks this is appropriate, then I do not want to work for you. I've actually turned down work because of this. "Oh, they just want you to install this Chrome extension to make sure you're not cheating during the video interview." No. Fuck you. Don't touch my fucking equipment.
if one of my hiring practices would reliably generate that many f-bombs, i'd consider it a success and stick with it!
I guess, sure, companies are technically allowed to request you install malware on your computer. It's probably a CFAA violation, but nobody gives a rat's ass about the CFAA unless you're hacking the FBI, so who cares.
Also, make no mistake: a piece of software that is designed to record your screen, keypresses, etc is malware. It is spyware. You have absolutely zero guarantee it isn't install hooks into your system that will exist long after the application is gone.
Just do the interview in a browser sandbox like a normal person, and share your screen. Boom, problem solved, we figured this out 10 years ago. Really that paranoid about cheating? Then pay up and do an in-person interview, paper code test and all. I've had it done to me multiple times.
You wouldn't by any chance normally use a different term for this group? Perhaps a single word?