Hikaru Reigns!
Hikaru vs. spicycaterpillar, Who is faster in puzzle rush?

No of moves are quite useless in accessing the difficulty of puzzle. In solving puzzles, we have to see from move 1 to move 5 or 6 (whatever is puzzle depth). Branching trees, familiarity of patterns , repeating same puzzles etc make the difference in thinking time. A bullet player can move 3 to 4 moves in 1 sec.
Thinking time for unfamiliar puzzle is a waste of time, not the moves!

I think Puzzle Rush developers may avoid that type of ambiguity by changing problem selection algorithm in a way that total number of moves in every generated problem sequence of length N is always larger than in any problem sequence of length N-1.
On April 3, 2019 Hikaru repeated his personal puzzle rush record by solving 55 puzzles:
https://www.chess.com/puzzles/rush/hikaru/2twziA
On April 4, 2019 spicycaterpillar solved 56 puzzles, and became world #1 in that activity:
https://www.chess.com/puzzles/rush/spicycaterpillar/33ZdYa
Based on those results it seems obvious that spicy is slightly faster in solving those puzzles.
But looking in some details, I noticed that Hikaru made 151 moves solving 55 puzzles,
whenever spicy made 139 moves solving 56 puzzles.
Hikaru's 55 puzzles:
5 problems with 1 moves { 1 2 4 10 11 }
29 problems with 2 moves { 3 5 6 7 9 12 13 14 15 16 17 19 20 21 22 23 24 26 27 31 34 36 38 40 41 44 48 51 55 }
12 problems with 3 moves { 8 18 25 28 29 30 32 35 37 42 46 52 }
2 problems with 4 moves { 33 47 }
2 problems with 5 moves { 45 53 }
2 problems with 6 moves { 39 49 }
2 problems with 7 moves { 43 54 }
1 problems with 8 moves { 50 }
Total=151 moves
Spicy's 56 puzzles:
9 problems with 1 moves { 1 2 4 5 6 7 15 22 31 }
28 problems with 2 moves { 3 8 9 10 12 13 16 17 18 21 24 25 26 27 28 29 32 33 34 35 36 37 39 41 44 45 49 51 }
10 problems with 3 moves { 11 14 19 23 30 38 40 53 54 55 }
5 problems with 4 moves { 42 43 46 47 50 }
3 problems with 5 moves { 20 48 52 }
1 problems with 9 moves { 56 }
Total=139 moves
Based on those results I'm not quite sure that spicy is really faster here...