PS- They really dont pay that well for warranty!
This is a true story. Take for example the service department at an auto dealer. They go by published, universal rates for services performed (ie. 2hrs. shop time for brakes, 4 hrs. for ball joints, etc.). When they perform this work under warrantly, the hours paid the dealer and mechanic are literally cut in half.
For the application, if a saw shop charges $50/hour as service rates and Husqvarna reimburses $25 per hour for warranty work, the dealer is losing money by working on a saw under warranty compared to working on the saw that is not under warranty. In the case you are considering, add to the equation that the dealer didn't get your original sale either.
In most cases, this was why I saw dealers stop dealing with Husqvarna. Saws were being sold over the internet to untrained operators who in turn would have bad gas issues with the saw or burn up the cylinder or pull so hard on a stuck bar to bend the crank, then take it to the local dealer who was too expensive to buy from originally and demand that the dealer fix it under warranty.
The solution to this is the business plan that Stihl works under. Sell all saws on a very personal level. The product is good and the consumer is trained on the saws operations at point of purchase. That being said, there are certain saw models that I want that are not sold locally. I would be willing to purchase those by mail or online, but I cannot expect the dealer to be responsible for covering those under warranty.