The stress analysis of your piping system addresses two types of failure - collapse and fatigue.
In general, wind loads are force-based and not self-limited. These loads, applied to your piping system, are evaluated as collapse loads and must remain below material yield. As stated by Ohliger, these are primary stresses.
But you offer an interesting twist by loading the building. If the deflection of the building due to wind is unaffected by the piping, that is, if the piping stiffness does not change the building deflection, then I would accept the possibility that these wind loads could be considered as a secondary (fatigue-based and stress-limited) load. I know some piping codes allow three times yield for a one-time settlement. And other codes include seismic support motion as a secondary load. In these cases, however, there is limited cycling. If you want to consider the wind as a fatigue load, you would also consider the number of cycles. Now you have a numbers game, where you are counting cycles for different displacement sets (high wind, low wind, etc.) and taking a cummulative damage approach. CAESAR II can do this but I think it impractical.
B31.3 para. 302.3.5(d) hints at this - "When the computed stress range varies, whether from thermal expansion or other conditions...". I believe we are talking about one of these "other conditions" here.
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Dave Diehl