So, it would be possible for a human to do this to match the TAS exactly.

Highly unlikely, but possible. Lot's of frame perfect actions and things that would be rather difficult on a standard NES controller, but since someone got diagonals in a run recently, I figured I'd mention buffering and more efficient start presses can achieve this:

So if you're crazy enough to go for 30+ frame perfects... =P

I think it's likely that someone will get a 1:15 one day on NES 3D.

The TAS has recently been hardware verified on a TAStm32 to a Toploader and Battle Chess cart!

I'm getting 1:14.316 in avidemux interestingly enough.