[omgwtfnoway]

i said i wasn't going to post in this thread again but i just can't help myself:

i normalized the variance of each game to bb to simplify the calculations as much as possible, so that the only variable that differed between the two examples was stack size. i showed that all other things being equal (bankroll, stakes, etc) that deeper games have higher variance, surely you won't dispute this.
in terms of variance it came down to this:
short stack < deep stack (the units on both sides of the equation are bb/hand because this was the simplest way to solve the problem)
remember that ALL OTHER THINGS BEING EQUAL, VARIANCE IS HIGHER THE DEEPER THE EFFECTIVE STACK

then you found a "unit conversion error" and did this:
(short stack)*$10 !< (deep stack)*$1 and concluded that
short stack > deep stack
you broke the fundamental theorem of algebra. both sides of the equation are bb/100, you can't decide that a bb is $10 on one side and only $1 on the other side and claim to have found a unit error.
if you want an inequality to hold you must perform the same operation to both sides.