Scottsdale doesn't like the Rev A MBAs and believes all of the units had those "common problems". My friend had a Rev A MBA and it was fine for her. She doesn't do HD video editing, but she does record herself playing guitar, edits in GarageBand, etc... Not a complete novice, but not a professional either.
I didn't use the original MBA for anything intensive. Wouldn't dream of considering much more for it than email or word processing. The truth was mine was very problematic even for simple common tasks. The rev B MBA is everything a Mac should be without the problems. To be fair, a lot of the problems have been worked around for the refurbished original MBAs.
What are the common problems? Are you serious? HEAT HEAT HEAT... Core Shutdown... Lockups... HEAT HEAT HEAT. A 20W Merom CPU in the original vs a 17W Penryn in the rev B MBA. Paired with the Intel 3100, the original MBA was problematic at best. Apple really learned its lesson, and it absolutely hit a home run with the rev B MBA.
The "common" solution I have observed/read/noticed from a LARGE majority of those happy with the original MBA is Cool Book undervolting. Some do re-application of thermal paste to cut down the heat problems. Apple has helped by rewriting some of the software related to video playback - updates. But the original as a refurbished is better than it originally was, but it still is not a solid Mac.
For me, a solid Mac is a computer that doesn't overheat, doesn't experience core shutdown, doesn't lockup, doesn't require undervolting via Cool Book, doesn't require re-application of thermal paste, and doesn't have lines on the display.
For the common or average Mac user, I think that the MBA should just work. The rev B MBA just works. It doesn't overheat because the major components were all upgraded. From CPU, to GPU, to RAM, to SATA drive controller, and etc the rev B MBA is completely and truly updated and fixed.
And some want to use their MBA as a secondary computer, but many of us want to use our MBA as our primary computer. For me, the rev B MBA is a solid computer capable of being most Mac users primary Mac. I cannot say anything even close for the original MBA.
These "common" problems and solutions are all widely publicized and reported. This is not new information nor is it highly debatable. These are common reported problems and solutions for the original MBA.