My first reaction is to jump at anything we can get, naturally. I'd certainly watch it. If it were an unedited stream though, it could have a lot of downtime if your development environment is anything like mine.

If it's not unedited, then that adds extra work for you that may be more of a time investment than it pays back. Hard to say without seeing it.
There is also the issue of spoilers if we're watching you do things that unveil parts of the game we haven't seen yet. I also wonder if some of your colleagues might be more reluctant to have their work publicly scrutinized.

So like I said, I'd certainly be interested, but I suspect it might be more work and/or have some other ramifications that would make it tricky. Thanks for posing the idea though!