I can't really give you a straight answer but I'll give you what I know.
SAAMI maximum pressure for 9mm Luger is 35,000 PSI, and 9mm +P is 38,500 PSI. +P+ is 42,000 PSI, though I do not know if +P+ is actually an accepted specification for SAAMI.
By CIP standards, maximum pressure is 34,083 psi for 9mm. The CIP proof round is 45,687 psi.
This is what I would pay attention to in this situation. When we pull 9mm ammo on an Army range, it is WCC stamped 9mm NATO just like I have seen in those commercial packages. Referencing Army Technical Manual 43-0001-27, maximum pressure for 9mm NATO M882 is 36,025 psi, with an average pressure of 31,175 psi. The Army "High Pressure Test" or proof round is 50,000 psi.
Going by those numbers, if I wanted to make a generalization, I would say 9mm NATO is in the +P range, with the caveat that properly manufactured 9mm barrels will be proofed for an additional 10,000 psi or more.
Confused? I am. There are a lot of different specs out there and I have no idea what Winchester is actually loading in that 9mm "NATO" load they sell at Wal-Mart and other places. Since it is marked NATO, however, I would assume it is a little hotter than American Eagle and such. What are you shooting it in? If it's a Glock, no problem at all. Our Glock 19s shoot this stuff no problem, just be sure to clean the brass shavings out of the ejector. It is snappy ammunition. Are you firing this in an old or questionable pistol? If so you might look at some generic 9mm Luger loads.