We bought our 2006 subcompact in 2011 when the lease was up (we got it via private lease transfer mid-lease) and the buyout cost was about $7K; car had about 35,000 km, mostly from before we got it. They asked how we'd want to finance that. I said I'd like to put it on the credit card. That was a no-go, which was too bad because we get points and we pay the whole balance every month. So I wrote a check, despite their ongoing amazement that we didn't need financing.
It's got another 5 years to go until we say goodbye to car ownership altogether when we retire and move away from southwestern Ontario, a place where "you are what you drive".
So I guess all dealers love, and encourage, people who finance.