Showing my screen is one thing... I prefer a collabedit or something similar... I work on a MacOS computer... so even when apps are closed, notifications still show. I set my messages notifications to show the full message... including images... so even with Messages closed, if my wife SMS's me, it shows on my screen. I dont want to have to go shut off notifications for an interview process... and i shouldnt have to.
There are plenty of tools to share the code view in many IDEs.. there are sites and services dedicated to this. To have access to my entire desktop, INCLUDING control of my mouse/keyboard and installing software... I would have a hard time telling them not to go fuck themselves... because the level of disrespect in treating an adult like a child student is so high its painful...