That pretty much depends upon how well the shop or technician the reg is taken to is paying attention. They aren't required to perform the service if the reg was purchased from an un-authorized source. For a retailer that's a very sticky subject. Many stop just short of grabbing you by the cuff and pitching you out of the store like something out of a comedy movie. I've heard storeis where shop owners have rudely and abruptly asked people to leave. I'm sure glad that is a VERY RARE story, but unfortunately it happens. These shops generally mistake "online" for "unauthorized" and lump even the online dealers into this, warranty or not.
And again... that's a generalization. Not a rule. I know from my time working for the manufacturers that there are MANY, MANY great shops out there who have thier stuff together.
Other shops will do the service but charge you for it just as they would any other piece of gear out of warranty. Often reasonable as they are not going to get their parts returned for free if they can't prove the warranty service themselves.
Other shops either don't pay attention, or go ahead and take their chances in the name of service.