LOL, with my luck its normally my bike that falls whatever stand I've used!
More stuff from arguing Engineers over this subject, if anyones still awake!

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"Ah Grasshopper - you too have been oversimplifying the physics involved -
try taking into account the CG point over that triangle and weight outside
of the said triangles, especially bad on a bike with a side stand that is
TOO SHORT !!!
A center stand parked on a level surface will apply almost all the force
straight down into the ground. True Ma - I would still worry about the
errant child trying to climb aboard and be Micky Doohan... But at rest, this
is a more stable platform.
When a side stand is short enough to put allot of the force outside of the
base of the triangle, you no longer have a stable triangled base... And your
bike could possible fall (not that this can be achieved by using a
centerstand on a vastly non-level surface too...)
Note too the areas of pressure (best simplified by looking at the CG of the
bike.) A center stand will apply force through the two feet of the
centerstand - which in general has more surface area than the one foot on
the sidestand (which again from the angles and the CG point, will probably
have more force applied through it"