The other complication is that pitot-static systems are inaccurate below 1.3Vs and hellishly inaccurate below Vs.
I would think that that inaccuracy is mostly due to the high AoA that's normally associated with these speeds, and thus the relative wind blowing into the pitot sideways, and maybe generating some dynamic pressure on the static ports too.
On the surface, pointing directly into the wind, the wind would be blowing straight into the pitot (unless you're in a taildragger with a marked AoA when on the ground), so this effect would not be significant.
Agree that it's pretty academic anyway. If the wind is so strong that the ASI comes off the stops while on the ground, you've got other things to worry about. Like keeping your flight controls so that the aircraft doesn't flip over.