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@markrjohnson
Ok, anyone mind if I throw my two cents in?
Assuming 100% brake efficiency (locked wheel), a skiddy will eventually stop whereas a SS front brakey will faceplant.
However, asuming maximum utilisation of the available friction coefficient (mu) then a SS brakey will have a shorter stopping distance:
The effect of braking tends to try and make the bike rotate around the front axle, so if the rider modulates the braking to prevent front lockup then there is a mass transfer to the front wheel (after all if your back wheel is off the ground it isn't carrying any mass). So the force per unit area on the tyre contact patch is increased hence the normal force is increased and you end up with a higher effective mu (kinda like how F1 cars corner at 4g, only they use aerodynamics).
A fixie skidder has to transfer mass to the front in order to unload the rear so less mass per unit area and a lower effective mu.
Higher mu gives higher rate of deceleration from a given velocity and mass.
I can't be arsed to type out the math but it works.