You could take a look at the cookies / local storage used by each profile. If I understand the situation right, profile 1 would keep cookies forever, so if you saw countless cookies by multiple tracking companies, you'd know that you forgot to switch profiles at some point.
A large advertising company would have enough resources to code up browser profiling tool that can almost uniquely identify you from various performance characteristics such as canvas render. Those separate profiles only serves the illusion of privacy IMHO.