That was a popular distinction maybe 20 years ago, but the line is fuzzed and functionally, the term "crossover (CUV) is dead. But, like all terms automotive, it's just marketing." Crossover" seemed friendlier to women to get them to drive tall cars. Now everything is classed as a [size] suv. Some classic suv examples were always unibody like the jeep Cherokee. Edit: I see now your other comment touches on offroad capability. So does a 2wd "suv" (by your definition) then get declassified? Does a body-on-frame tall wagon with viscous coupling awd get declassified?

And no (takes a deep breath to survive an emotional down vote onslaught), there is no legal difference between 4x4, 4wd, or awd. A manufacturer can choose any term to apply to any type of 4-wheel locomotion. Every definitive trait has some counter example that still counts because people "feel" it's good enough.