Ah, a debate at last
The best I could get from our flight safety department was that the tower reported wind takes precedence over other sources, including the little green arrow in the corner of your ND.
The rationale for this is that the info you have on IRS drift is not definitive enough to override any authorised reports, which the tower wind is (or should be). Plus it's the wind at the threshold that counts, not DH, MDA or anything else. (In the middle of nowhere, in the middle of the night, I suggest we all go very carefully in this age of instant expert analysis and litigation.)