I understand the dilemma. It's very hard :( There are so many "parent" products that fall under this law. It is my opinion (just an OPINION), that they are a children's product, and here's why:
1) There are lots of products covered under CPSIA that are used by the parent and on children.
2) Anything in a diaper bag (or on a changing table) is typically free reign for kids. My 2 year old play with wipes and we give them the case to hold to "distract" them during a change when we're out and about. Many parents do. So to me, in the SPIRIT of the law, they are.
But don't take my opinion for gospel. There will be just as many other people telling you they're not children's products. Just another grey area in CPSIA.