The shocking thing about light trucks with fuel economy in the teens is that most of the time they never haul anything. They're driven to the grocery store and to soccer practice where they have little value.
Unibody might not be commonly used by truck makers, but using it doesn't mean it's not a truck.
A Tread Unibody bulk truck can haul 50K pounds and no one would call it a ute.
Smaller pickups like the Ford Ranger and Chevy S-10 are in the "compact pickup" class. (And unfortunately these are not sold in the US anymore. For those with genuine need, we either have to resurrect some old heap headed for the scrapyard or import them on the gray market from Asian countries.)
By no means is it a compact truck any more.
On a related note, we have some real candidates on the Lightning forums for being the modern "Danger Ranger" trucks -- turns out you can load a Lightning with well north of 2000 pounds and it still isn't squatting anywhere near the bump stops. Stiff suspension.
By number the median SUV is some sort of crossover or compact SUV built on a platform the OEM also builds sedans on.