Absolutely not. This will take away one of the greatest advantages of working remotely, which is being free from distractions and free from having to worry abou

Absolutely not. This will take away one of the greatest advantages of working remotely, which is being free from distractions and free from having to worry about other people looking at you. If they want to talk to me they can ping me on IRC (yes we don't use the newer stuff) or schedule a phone meeting. Video calls are only for very specific reasons. Is the company in any way owning the server or proxying the video or a man in the middle in the communication between you and your peer? My company would absolutely do that, or consider that I can't talk about confidential information through this channel, rendering it useless. And if they do the man-in-the-middle approach, then I would be concerned over privacy of having the monitor me 24h.