The noise floor sounded more to me like bad gain staging than it sounds like fans and room noise. And I honestly think that the majority of people who watch that video aren't going to notice. I think you're too close to the process. I would venture that almost no one else in this thread would watch that video and call that an all-caps HUGE amount of noise.
A long time ago, I was mixing down some rough recordings of my band, and as I was putting everything together, I kept hearing the squeak of my cheap kick pedal every time I hit the bass drum. It was incessant, and it didn't help that I typically played at upwards of 160bpm. I tried EQ, notch filtering, all kinds of things available to me back in 2002 to try and get rid of that squeak without destroying the other things coming through the room mic, and I just couldn't do it, so I had to leave it in. No one else in the band could hear what I was talking about.
On my way home, I put in a CD by the band Cake that I'd had for a couple of years at this point, and I had heard probably a hundred times before. And even though it had never stood out to me at all before, all of the sudden the only thing I could hear on this professionally recorded album was THE SQUEAK OF THE KICK PEDAL. It was absolutely maddening.
I went on an electronic music binge for a couple of months after that, just to cleanse my palette.
