My view:
AWD: when front and rear are driven, but are not "locked", i.e. front or rear can spin faster than the other (Subaru's, my wife's Mitsu Outlander, RAV4s, CRVs, and many others fall into this category).
4WD: when front and rear are driven, and "locked", i.e. front cannot spin faster than rear. By my reckoning, this has nothing to do with low range or not. These are high range options. Again, my 2 cents.
I agree with this assessment of the AWD/4WD differentiation.
I would also add that all "4wd" vehicles have a transfer case that is separate from the transmission, but not all AWD vehicles do (although some do.)
Many AWD vehicles like the Subaru, the Mitsubishi Lancer EVO, and most (if not all) Crossover/CUV vehicles like the Honda CRV, Pilot, Toyota Rav4, etc, have a simple viscous coupling from the transmission rather than a true T-case. That's why they don't have low range, there's no place to put a low range (the exception here being the Subarus that are sold outside of North America but in those cases, the "low range" is actually in the transmission, not the T-case.)
Some "AWD" vehicles have single-speed transfer cases (I think most of these are "AWD" versions of "4WD" vehicles, like the Mercury Mountaineer, which was just a Ford Explorer with a different, AWD T-case.)
From my observation, it also seems that vehicles with a "north/south" engine configuration (i.e., the crankshaft of the engine is perpendicular to the axles) is more conducive to a true 4wd application because you have the engine, and transmission in a straight line, front-to-back and adding a T-case onto the back of the transmission is relatively simple.
OTOH, small, unibodied CUVs and cars typically have the engines in an "east-west" configuration (crankshaft parallell to the axles) using the Issigonis design with the engine sitting on top of the FWD transaxle. This makes it difficult to add a T-case because where would you put it?
Obviously Subaru is the exception here because even though they are FWD platforms (outside the US), they have a "north-south" engine configuration with the engine sitting on the FWD transaxle.
I was happy to see that my wife's Grand Vitara is more like an SUV than a CUV, with a semi-ladder frame (sort of a cross between a unibody and a ladder-frame design) with a north-south engine configuration and a true T-case with low range (as the GV is a full-time 4wd vehicle, it has a locking center diff so the T-case positions are: 4hi unlocked, 4hi locked, neutral, and 4lo locked.)