So how exactly does placing an Avg. Price Paid on the New Car listing benefit your customer? The cars already have sale prices on them. What purpose does having a Avg. Paid Price on the vehicle serve except to undermine the dealers selling price and create confusion for the customers. Please don't give some BS answer about transparency!
Unfortunately, it's the name of the game today that sites like this do their best to lure buyers, to see your cars, but place you in a race-to--the-bottom scenario that you can't escape. On the one hand, if they don't give the customer a compelling reason to visit their site, your cars will never be seen. And since one site tries to out-do the others, to capture advertising revenue, they do what they must to draw your business. I don't blame these third party sites because they are just following the business, just like we do. The decision becomes whether or not we play in that sandbox.
But they give us something we didn't have, which is a customer that may buy a car from us. So ask yourself (3) questions: Is my price fair? Do I have salespeople or a BDC that are skilled enough to overcome the objection that their local guy is cheaper? And do I run my used car inventory efficiently enough that I can still make decent money on the car because of my quick turn, even though I'm playing in the pricing sandbox?
There is no sense in bemoaning the situation: there is no way we can change the market, or the marketING. How can we effectively promote our product and manage our inventory in a way that fits this dynamic in order to maximize our ROI is the consideration. If that means the types of comparisons you posted above then so be it. We may not like it, especially those of us who've been doing this since before a time when the Internet was so everywhere, but it's our reality.