-> This overstates the case, because you'd still presumably load the 1x1 tracking png with ?resid=<X>&uid=<Y>.
> "I have a checkbox that will make it so they don't track you, but it will also break those sites. Is that ok?" They will also respond "hello no".
This overstates the case most of the time because doing this generally breaks relatively little for those domains listed, and to the extent it doesn't, making that decision on a domain-by-domain basis seems to work pretty well (ask any Noscript user)