I've seen bottled water with things on the label that says "zero carbohydrates" and "gluten free". No harm in advertising what you already have.
My concern is when it gets to tooth whitening territory. Every dental product can say it's whitening, and it is, when compared to doing absolutely nothing. It does make it difficult to determine which product is actually formulated for it and which is advertising an incidental benefit.
For cycling, I wear clothes. Seems like a solid choice.