A question about Rolex Service Centers

[AlBacon!974]

I found a pretty decent 1974 Day-Date that I'm thinking about pulling the trigger on. The watch is on an aftermarket leather strap which isn't that big of a deal. I am thinking of getting an OEM Rolex strap, buckle and tang eventually. My question is will Rolex service just the watch head by itself or will they refuse because the original band is not present. I have only sent complete watches to RCS NY/Dallas so not sure how just the head being serviced will turn out. Any info would be greatly appreciated, thanks.