Could you please elaborate how the sticking brake caliper affects to the wheel speed sensors.
In answer to your question TnTkr...
The tyre deflation system relies on signals from the ABS sensor which inputs to a mathematic algorithm in the ECU. It's not a true pressure reading, but relies on 'pulses' from the ABS sensor on each wheel to simulate rolling circumference of each wheel.
A sticking brake caliper will generate heat into the wheel, which will in turn generate heat into the tyre, thereby increasing its rolling circumference and affecting the amount of 'pulses' the ABS sensor generates per wheel rotation.
Also an an aside, most modern (ish cars) use some sort of stability programme - ESC in Honda terms? - and these tend to use the rear brakes to offer stability in adverse situations generally without the driver knowing. That's why a lot of owners don't appreciate why their rear brakes tend to wear out quicker then the fronts which actually take the most load in normal situations.
I appreciate this forms demographic may not really appreciate or indeed care what I've written, but I've thrown it out there anyway.
Hope this helps.