I personally would. You may at some point decide to do some activity related to AKC where it might come in handy. I had my first Maltese for 10 years before I decided that I wanted to get involved with obedience and show him there. I had to dig up his AKC records to get him entered, but I was glad he had been registered and I was able to get to them. I figure it is a case of you never know when you might find it useful.
Here in Ireland its very different though - the breeder has to register the litter as a whole and then the new owner transfers ownership of the puppy.
Not registered means BYB here.(but a lot of BYB's do resister)