It isn't the sole reason, but it is a significant factor. There will be a lot more chips used in cars in the future and it is already a significant cost in cars.
You shouldn't count on car prices being down once the chip shortage eases. All of the major OEMs have strong pricing power given the tight inventory. Before COVID started, Ford had around 75 days of inventory on dealership's lots but they will never do that again. Jim Farley already announced that: "We are really committed to going to an order-based system and keeping inventories at 50 to 60 days' supply.”
Ford is incentivizing customers to order their cars and not buy off the lot. Likewise, when dealerships order cars, they are guessing what their inventory mix should be. When customers order cars, there is no guessing. This reduces floorplan costs at the dealerships and empowers dealers to have a stronger bottom line. This is why prices won't go down and inventory will never be the same.
You and others are assuming i/people in my camp disagree on manufactures intentions. We do not. I agree that is what Ford and others want to do.
Have you ever been on a publicly-traded company's quarterly earnings call? What they want/say they are going to do is often times VASTLY different than what they actually do. Why? Because of market conditions and general laws of supply/demand.