When my previous Thinkpad T400 needed servicing - a line of bad pixels developed on the display - the display was replaced by the next business day, for free (under warranty). The kicker is, that I didn't buy the NBD service and I didn't need to prove anything about the date of purchase or something - I forgot to bring my proof of purchase and the service center looked up everything they needed in their system.
I can't expect anything approaching level of service for the Apple laptop. In my country, we don't have Apple Store and Genius bar, and in the past it took the authorised repair center cca 3 weeks to do anything, including simple swapping faulty power supply. Not because they are lazy (they are great guys actually), but because they have to wait for spares.