I hear a lot about the "better balance" of the 562 compared to 362. FYI, powerhead only, the 562 and 362 Ver I are the same weight, and the 362 Ver II is about 1/2 lb less.
That said, when I went to the local Stihl shop yesterday, they had both a Ver I and Ver II on the shelf, but both had 20" ES bars on them, and both felt very front heavy.
I run a 20" Stihl E bar on my 362, and it balances much better. Comparing my weight of the E bar to Redbull's posted weight of the ES bar, the E bar is 9.2 oz lighter. That is a lot, and the ES bar will make the saw feel very front heavy!
The E bar is also much cheaper, with a list price of only $45, and is only 1.5 oz heavier than a Sugi light bar that costs about twice the price.