I have both, the main reason I bought a Burgman was for the step through frame, as I have bad knees and have problems getting on and off regular motorcycles with saddlebags ( I seem to keep kicking the bags) or when I have my camping gear strapped to the seat.
As for your list:
Auto Transmission: Didn't think I would like it as I like to shift, but have grown to like it.
Storage: A big plus
Vibration: Motorcycles are supposed to vibrate :lol:
No heat from the engine: well since I don't have a Harley I don't have that problem.
Mileage: I get about the same mileage on both but the M/C does need the expensive stuff (91 octane).
Lighter: NO WAY, My 650 Burgman is about 200 pounds heavier than my 750 Moto Guzzi.
Cheaper: Only because I bought the Burgman used, a new one is more expensive than quite a few much larger M/C's
More Capable: Not sure what you mean by that, for running errands, yes, because of the storage. For riding the twistys, NO, it does okay but isn't as good or as much fun as my Guzzi. For commuting, it's a toss up, I switch back and forth between them quite a bit. For touring, well I had no problems on my recent 3,300 mile trip, If I was carrying a passenger I would probably want more power, but riding solo it has plenty of power for the type of riding I do (staying off the Interstates, taking the road less traveled, not exceeding the speed limits). I much prefer the riding position of a dual sport such as the V-Strom or Buell Ulysses, or better yet the Moto Guzzi Stelvio, but I just can't get my leg over them. If I could just find some lower handlebars for the Burgie and figure out a way to mount footpegs where they really need to be (directly below the hips) the Burgman would be a much better touring bike.
Oh and when I can afford it bike number three will probably be a Royal Enfield Bullet Classic C5.
Dennis