Yes it does. My wife has celiac and is highly allergic to any gluten. Years ago she started getting a rash on her scalp and shoulders. And not even the local allergist could figure out what it was caused by.
By a process of elimination, we finally got it down to her hair shampoo. And it was supposed to be a hypo allergenic product. A call to Proctor and Gambles customer service got her a nice young lady that was actually concerned about the reaction. She asked questions and took notes and gave promise to call back in a week or two. A week later she called back and was very apologetic. She had found a supplier had changed a formulation and didn't tell them. And it now contained gluten. She said they were forcing the supplier to go back to the old formula and that this had triggered a division wide audit of all suppliers.
And a week or so later, this brand of shampoo was no longer to be found on shelves of stores in our area ever again. And my wife enjoyed a year's worth of free hypo allergenic products for Proctor and Gamble to boot.
So yes, report this stuff if it happens!