Didn't have time to read through 7 pages of posts, so forgive if this has been covered....
The main functional consideration is bar length and chain speed. The decision should be driven by your type and amount of use. If you're going to be doing alot of limbing and/or brush work with it, you want very high chain speed...also longer bar length to save your back. People often focus on needing to cut larger diameter material, but do evaluate the frequency you'll actually be doing that....there are ways to make smaller saws cut bigger wood (e.g. plunge cuts) that can prevent you from buying too much saw if you're not going to cut that sized material very often. That said, those types of techniques can be a bit advanced (and dangerous) which is a bit of a catch-22 if you're not cutting material of that size very often (b/c you won't get much practice for the more advanced techniques).
I've had a 460 (mine is the non-"rancher" model) with a 24" bar for about 5 or 6 years now. I've also used the same saw on the fireline. They're a good saw and have held-up well. It is the smallest powerhead I would use with a 24" bar...the chainspeed can be a little slow at times, particularly for large-diameter work. I suspect it would work very nicely for a 20" bar, but I have no use for something that size. However, if you understand the limitations, you can plan your work accordingly.
I've used a 359XP at work for my goto saw for about 10 years now. If you can find a used one, I highly recommend it. Way better acceleration and top-end power than a 460. By contrast, I understand that Husqy now makes a "359" without the XP designator that has had some problems...I would not recommend one of these.
I've used 372s with 28" bars and larger at work. They are a comparative monster. You can literally step-up to a 24"-30" tree (mostly red fir, p-pine, or oak in my parts) and get after it without having to back the bar off a single time (assumes sharp chain, tuned to elevation, no weird tension, etc). As I think you mentioned, though, the 372 is heavier.
There really is no comparison between the a 460 and a 372. I'm a big fan of saws in the weight class of a 60cc +/-....if I were to buy any saw right now and money were no object, I'd go with the 562XP. Haven't run one, but am intrigued by the potential to run a 28" bar on a saw that size.
The main decision point is cost. The 562 is half-again as much as a 460.
Have fun. Be safe.
Will