This took way too long to make. If you wouldn’t mind reading it, I’d appreciate it!
I don’t know how to go about finding probabilities for 7-simul, but for flip, I may be able to provide some understanding
First of all, since there is no move limits to clock like there are in 3x3 and 2x2 beyond a general “2 moves” theoretically, yes. However, I think that this is highly unlikely. From calculating 12^4(Each of the 4 edges’ probabilities to be centered to c, the middle clock), that equals 20,734. I can deduce that there is a 1 in 20,734 chance of a scramble having all of the edges on one side being solved. Multiply that by 12 (that c is centered with the other 4 clocks to 12) and the odds of a first side skip in Flip is 1:248832.
The very fast Flip solver can average mid 3-low 4 TPS, but since I am eliminating the flip, I’ll estimate at 4 TPS. There are 8 clocks to solve, and a 9th to align them back to 12. For a sub 2 solve, there would have to be at least one skip, which isn’t completely unlikely.
Thus, for flip, it is possible, but 1:248832 odds for one scramble is not good.