Re: So what is to stop the user ...
"If your personal information isn't being handed over, what difference does it make if there's an anonymous tick in a box "saw ad X, clicked on ad X, bought item advertised in ad X""
How do you define "personal information"? This scheme uses an advertising ID, and I consider such IDs as personal information.
In any case, while Apple's proposal is better than nothing, it's not nearly "anonymous" enough for me to feel comfortable using it instead of real defenses.