A 3520 equivalent would be the NH TC35DA. Actually the 3520 has more engine horsepower (37 vs 35) but the same PTO horsepower (30 vs 29.6). In most locations you could step up to a TC40DA for about the same price as a 3520. This is very region specific, but in general this should hold true. The TC35DA and TC40DA are the same size tractor, but with the TC40DA you would step up to a 4-cylinder engine, 20 more cubic inches displacement, more 3-PT lift (about 300 lbs) and of course more HP over the TC35DA.
The NH TC40DA (or TC45DA) is one of my favorites of all the CUTs out there. My next tractor (hopefully) will be this one. If there was ever a clear cut winner between two tractors, this is it:
NH advantages:
4cyl vs 3cyl
2.0L vs 1.5L (121.7 cu in vs 91.3 cu in)
Two range hydro with dual speed function within each range
14.9gpm hyd flow vs 13.9gpm
130 lbs higher 3-pt lift capacity
400 lbs higher FEL lift capacity (2000 vs 1598)... Plus as you mentioned the 300X/CX cannot raise and curl simultaneously. All NH loaders have that dual function.
Standard flex link ends & crank style leveling device
Swivel seat, telescoping steering
Flow thru radiator
Check out the hood on the 3520, it flexes quite a bit. The NH has dual gas assist struts that raise the hood.
NH touts superior visibility and serviceability
Four headlights vs two
Std tires are quite a bit larger
Supersteer may be of interest to you (approx $1500)
As for Deere advantages, they have eHydro but I don't know how much value that brings to the equation. The only thing that the standard eHydro has that NH doesn't have is Load Match, which is essentially the same thing as the dual speed function on the NH, except it is automatic instead of manual. Also the Deere engine is turbocharged vs naturally aspirated. Make sure you start up the 3520 and see it in action before you buy it. It may be just the one 3520 that I saw, but darn it smoked and banged. I personally liked the 4010 series better than the 3020 series.