It's true that celecoxib doesn't block that enzyme as much as other NSAIDs, and some evidence suggests that it's less likely than those drugs to cause abdominal pain, indigestion, and nausea.
[1] A case of this drug reaction from celecoxib is reported. A 61-year-old nonatopic woman presented with 15 round, red-brown, edematous, moderately itching patches. Their size varied from 2 to 10 ...