I have a Honda Pilot (full-size SUV) and CR-V (crossover SUV) and I've driven my brother-in-law's Odyssey (minivan) a fair amount.
The Pilot feels like a lumbering beast that begs to roll over. It also has less visibility than the CR-V and the Odyssey.
I don't feel a ton of difference between the CR-V and the Odyssey. I also never worry about the CG in either one. They have a very similar feel. I can definitely see around both of them better than the Pilot (though I think the CR-V has a little bit of an advantage).
The visibility and comfort on road trips is why I'll probably continue to own a minivan even after I don't need it to haul kids around. I can throw 8'x4' sheet goods onto the roof rack and anything smaller fits inside with the seats down.
Even still, are people buying an SUV or minivan for the driving experience?