The difference seems firmly connected with a ratio, but instead of power<font face="fixed" size="+1">:</font>weight, it's cc<font face="fixed" size="+1">:</font>kW.
A quick thumbing through the Husky catalog shows the current generation (as of their 2002 publication) of saws designated XP to be making 1 kW per roughly 18 cc while the "standard" models require 20 or more. The standouts are the 357XP which dips into the 17's and the 365 right at 19.
It's a little hard to be "accurate" with the math because they round the displacements (up?). The 357XP, stated as 57cc, has the same bore and stroke as Stihl's MS340 which is listed in that firm's data as 56.5cc. Because of that, unless one knows the more accurate displacement of the saws, this pointless comparison is even more so.
For kicks, the Stihl 260/360 are 18.7/18.6, the 440/660 are 17.7/17.6, and the winner (from both manufacturers) in this category is the MS460 at 17.0 cc/kW. The consumer saws 290-390 are all within a couple points of 20, and the pro-sumer 270/280 are 19.1/19.3.
That's about all the time I've got for that right now...