That's not a bad term, but so far as I know, it hasn't been picked up by the automotive press. For example, Subaru's Crosstrek (the name looks a lot like "Crosstour," doesn't it) has been called a "four-door hatchback" by at least one source. Other cars with a similar body type are usually called SUVs, even though they don't look very SUV-like.
Semantics or typologies aside, despite Honda having given up on its Crosstour by 2015, new entries have appeared during the last two or three years. These are shown below.
2010 Honda Accord Crosstour
This is the original. Pretty graceful in profile as far aft as the B-pillar, but then it looks too bulky.
2019 BMW X4
Go to the link above for images of the first-generation X4. The current version has a strongly curved roof, but just tall enough at the rear to suggest short-item carrying capacity.
2018 Subaru Crosstrek
The Crosstrek has a higher roofline at the rear that's more suggestive of SUVs. On the other hand, it does hint at being a four-door hatchback sedan.
2017 Maserati Levante
High-priced sporty marques are now getting into the SUV act. To retain that sporty feeling, the Fastback SUV style seems more appropriate than the traditional SUV boxy, station wagon style.
2019 Lamborghini Urus
Here is a recent entry. The roofline is closer to that of the X4 than the Levante.