I've heard of dealers stressing to customers that they'd like positive feedback, and they’d welcome the opportunity to fix any problems before a customer would report negative feedback or dissatisfaction on a survey, but I have never heard of having the dealer fill out the survey itself.
I don't want to sound naive here, but in my opinion it would be corrupt and unethical in the extreme to even suggest doing so.
Does the term “bribe” come to mind?