For sure it’s more of a concert chanter thing. Pipers get good at using different pressures and ‘shading’ and alternate fingerings to mask the sharpness of that high B.
One hears it on albums all the time, of the very best players. One gets so used to it that it starts sounding natural.
My old David Quinn chanter is better than most, the differential between the B’s being only around 10 cents. At our local piper’s club there are chanters by a larger number of makers new and old, Rowsome and Hunter and Froment and what have you, and generally the pitch differential is around a quartertone.
It’s so prevalent that I’ve discussed with pipemakers putting a key on chanters, where the C natural key normally is, for an in-tune high B.
The other usual quirk is the pitch differential between the E’s in the two octaves. Once again clever use of pressure and shading can make the chanter sound perfectly in tune.