Had no problem having my local dealer do a warrantee servicing. Why would they turn it down? This is covered by the manufacturer and they will be paid. Its like if you buy a Honda, do you have to have it serviced at that same dealer? You can go to any authorized Honda dealer -and once outside the warrantee, "Joe's Japanese car Repair" will be happy to do the work. They want the business.
I do think it is worth checking to see if the local dealer can come close to the price. When I did that, however, they would not give me an answer over the phone and told me I would have to come in person (an hour drive). I purchased online and never been sorry.