I have both too, measurements show that they are basically same.Another point is should you consider accelerator and BP equal??? I'm an electronic engineer and I compared both modules, they are not the same at all... BP is very consistent but I'm not convinced that accelerator is... you should verify the AIT temp while running to be sure you are still 20 degrees below actual.
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Yes, if you look screenshots above, ECU shows (and sees) about 18C lower temp.
Problem is that ECU adapts because it corrects Fuel Trim Map values based on O2 sensors, so BP effect fades mostly away in one hour of driving.
After several tests, seems that minor effect stays, so "maybe" it is little bit better with BP then without.