If you've got back, hip, knee, or ankle problems, then trying to bend down into a low car is an undignified exercise at best, a struggle at worst. A CUV doesn't have that problem, you just sit into it like a chair.
For a family with young children, securing child seats into a CUV involves a lot less bending over then in lower car. Bear in mind that many child seats are 40 lbs.
If you live in a snowy area, the greater ground clearance makes it less likely to get stuck in residential roads that are lower priority for snow removal. You also have better approach angles as well, which can become a concern if you live in an area that's very hilly with steep driveways.
You probably don't see advantages, and that's fine. But that doesn't mean they don't exist.