Looks good man. It does look a little forced yes, and a bit exaggerated, but some of the slips and weaves are pretty damn fast!
I don't think you'd want to elevate your stance, but you do seem a little heavy when moving your feet. Might be you've gained a few kgs. As for how to "relax" more that's hard. I know you want to turn over completely and so forth, but you're loading up a bit on the right hand. Maybe try to add in a few more throwaway punches without comitting as much and change the tempo around on some of them and see if that helps. "Dance" a little more and loosen up the shoulders. Not necessarily while doing this drill, but as an add on. You're at the point not that you don't have to overemphasize every move to get the technique down.
Your dips and weaves are solid man, might just want to take your own advice and practice more lateral movement and smoothing out the footwork in general and see if it pays off. Are you flat footed? I mean in the literal sense. I don't know how much you do of it already, but running (with good technique, this is a hard one if you're flat footed) and skipping more, while adding a few short foot drills/unilateral drills for stability or triple extension exercises (cmj jumps, squat jumps, anything that extends the ankle really) might help you improve the foot arch. At least they can make your feet more stable and firm, preventing you from losing as much power into the ground.
Feet strengthening/footwork/lateral movement, tempo changes, throwaway punches, feeling and being less rigid (not more sloppy) would be my takeaway. That's just my limited opinion though, I refer to the don. Otherwise I feel like
@Two had some good advice.