I'll take a shot:
I bought a 372XP X-torq model in 2012 due to my aging 262XP getting tired.
I also have a 350 now I picked up off e-bay. Love running the 372 -- after a bunch of work with 350 going back to 372 in some bigger wood just never gets old. Up to the knees in sawdust so quick -- just never gets old.
The X-torqs came out to replace the original non X-torq -- someone here can say exactly when I'm estimating around 2010 maybe.
X-torq is the "strato charged" carb that saves on fuel (to meet emissions) but gets power comparable to non X-torq. I searched a lot back in 2012 to find out if guys who have xtorq versus non xtorq have any complaints and I found that the xtorqs are just fine and live up to the 372 legacy. The guys who mod saws could tell you if xtorqs take to modding any better or worse than others -- something about a different power band between X-torq and non X-torq. I know Brad Snelling prefers non x-torq 372s that he builds.
Autotune is like Stihl's m-tronic that automatically adjust the carb settings to compensate for atmospheric conditions, dirty filter, etc. so it can't lean out or be too rich. Mine is NOT autotune and I don't know of any 372XP yet that has autotune. I believe the legend of the 572XP that is coming out to replace the 372XP will be the autotune version (if it's even true that a 572 is on the way, a lot of mystery around that, search for discussion there are dealers on this site with test models that can't yet reveal whats in store!).
Here is a video of flush cutting an oak stump with by bone stock 372XP X-torq 2012 model year -- probably not even totally broken in yet back then as I think the saw has even more strength since then. You can buy this saw still today and many on here recommend it:
The guy filming says it's a 30" bar -- nope, just a 24" w/ full comp chain and not even totally sharp as I saved flush cutting stump til the end.
I have a 28" bar w/ skip chain for some really big stuff we did a year ago -- runs that bar great and quite comfortable too.
Here's the felling video -- back cut. I do have a helmet now although this tree was in the open and low risk. Had a heavy lean and might have bore cut it, but no barber chair and came down exactly how I wanted it to.
For positives and negatives of X-torq -- positives are essentially the same power w/ less fuel and emissions. Negatives I'm not sure -- is the strato charge carb more prone to issues? Don't know.
For positives and negative of autotune -- I would get and autotune saw as I'm a bit chicken to tune for fear of wrecking the saw. Autotune is great if you want to not have to worry about it. Negative of autotune -- if it messes up it might need to be reset, requires dealer w/ right laptop hardware to debug etc. Classic dealers that can turn H and L screws no problem. If you want to tune yourself, autotune is not for you!
I hope this helps. In summary since 572XP isn't available and 576XP is a bit heavier and had some intital problems I'm sure are fine now... I would definitely get a 372XP X-torq saw again... I love mine. Only issue I had was a pinched fuel line last year where it goes through the tank. I heard some factory lines on it could be "weaker" it seemed -- the replacement line has been great. Dealer checked it all out, lower leak test, check cylinder and compression etc and saw is still perfect. Glad the pinched line didn't cause lean run damage.
One more thing -- has an inboard clutch -- I like the inboard clutch on the 372XP more than outboard on my 350 for instance. If you are thinking of some other model beside 372 you might consider based on clutch style. Also 372 is large mount, so are 60 CC Husky typically (except 262XP -- I think 562XP is large mount).
Hope this helps. If anything I have is wrong I'm sure others will correct me.