that’s cool
i think there’s some mathematical connection though
It also makes sense since i guess the most optimal solution for a cube with 20 pieces is to solve each piece with one move (which obviously isn’t possible)
I think that this is a coincidence for many reasons -
The metric is arbitrary (why HTM and not QTM or STM)
God's number for 2x2 is higher than its piece count and, even at its upper bound, God's number for 4x4 is lower than its piece count, just remembered that centers don't count, so God's number is assured higher than piece count for 4x4 (odd how God's number goes above, then is the same as, then goes back above piece count), anyway it's most likely that those two variables just so happened to intersect at 3x3
There's no logical reason for a correlation to exist (that I can think of)
Still an interesting fact, interestingly God's number QTM is 26 (number of pieces including centers)