I'll second that. I think that too many people get hung up on how you "should" be fit on the bike and are afraid to be creative with the way their bike is put together and adjusted. I've read many an article about how some pro riders have somewhat bizarre positions on their bikes because of how they've insisted on having them adjusted. To me, those riders are a perfect example of how your bike needs to fit you and how you ride, not some general standard.
How do your handlebars feel? Are you comfortable? Do you feel in any way inhibited or limited by your grip on them? If so, go back to your fitter. If not, enjoy the ride!