I think you're mistaken about how dealerships and car sales are structured, at least in places like the UK and the US. Maybe it's different where you are?
They get a proportion of the sale price, and they get paid a referral fee for you opening a loan, and then on top of that they can offer extras that you probably don't need like fabric protection products.
> Nobody is coming out with less money on a loan purchase vs. cash, except the buyer.
The dealer is paid to get you to get a loan. If they don't get the loan, they get less money. My understanding is that their referral fee is somewhat weak about how much the loan actually has to be, so they just care that you take it.
It's worth it to them to discount the price by less than their loan referral fee, in order to get the loan referral fee.
> And if you had walked out the door they would have run after you to take the cash deal AND given you the discount.
No they'd just have sold to someone willing to pay their price.
There's a car supply shortage... that's the whole point of the article... did you miss that? If you want to buy a new car at the moment and you go in haggling them on a mid to high end spec car they'll just tell you to fuck off and you won't get the car you want.