I suppose specialist FS bikes for cross country would satisfy your goal.
But the main problem with MTB style bikes is the lack of eyelets for fenders and rack as someone already mentioned. These are essential for commuting.
There is a better option for FS commuter like a FS gravel bike. It will have the necessary mounts for commuting or even touring.
Another possible issue with commuting is theft. So keep the price down. While it is certainly possible to completely avoid theft in commutes if you never have to park the bike in public spaces. But for errands definitely avoid expensive bike unless you live in a very secure, very low crime neighborhood.
In your video, I have many regular routes that rough or even worse. Wide tires on fully rigid bike is good enough for me. I did have seat suspension like Suntour and extra padding on the dropbar.