I can definitely say that there are currently different test groups with different numbers of moves for each level.
My own two games differ remarkably. The two games that are near enough each other to be able to compare without much scrolling are the tapper and the flasher.
The tapper being the three week old account at level 2414, which has the tapping feature. The flasher is about a year old and at level 3551 and is going to stay there until King switch off the flashy graphics. So they are easy to compare.
Baseline moves (without win streak or any other add-ons) are:
Hard Level 2411: Tapper = 24 Flasher = 20
Hard Level 2414: Tapper = 18 Flasher = 15
I'll check some more levels at different difficulties as I play.