I think it depends on what KIND of 6'1", 6'2", etc. frame you have. Long arms and short torso with long legs? The opposite? I'm 6'2" and my first road bike was an 06' Tarmac Pro that was fit by the shop more by eye than a "professional" fit. Then again, I didn't know any better at the time. Was a 61cm frame and I was very happy I was comfortable on it while cycling. Did some tweaking of my own with the saddle setback and different stems / stem angles / lengths as I read more about fitting here on BF, but all in all it served me well and like I said, it was a comfortable ride.
Then in 2010 I decided it was time to do it "right". Had the new bike "itch" so went through a Retul fit process starting from scratch on a bike fitting jig. Had no preconceptions in mind as to what brand of bike to buy, etc. just wanted to have all the measurements for ME matched against a frame that would fit the best (custom frame?). Turns out that a Ridley Noah fits me like the proverbial glove in the XL (60cm) size with a 100mm stem, 175MM crank arms, etc.
Best advice anyone can give is that "size doesn't matter"... take the time to have your bike fit by the LBS or someone who knows HOW to fit a bike regardless of the system, and then select what you're comfortable on from there.