I'm really not a cold formed expert. So, don't take my word for it. But, I think those types of stiffeners can influence the flexural yielding limit state.
If you look at section C3.1.1 Nominal Section Strength, you'll see that the flexural yielding capacity is based on the calculation of the "effective section" modulus which takes into account local buckling and stiffeners and such. Therefore, it is possible that the stiffener could add strength. Essentially allowing a larger percentage of the web to be "effective" as the extreme fiber of your section approaches yielding.