Do crossover SUV's sway more or less in the wind than short hatchbacks?

Factual Questions
1

Like many people here in Europe, I drive a small city hatchback, a VW Lupo, a 3.5 meter A-segment box.

On paper the drag coefficient is surprisingly good at 0.32 for a 20+ year old hatchback, however in reality turbulence when overtaking semi trucks is horrifying and stronger winds can literally sway the car left and right on the highway, so even though the limit is 80mph, today I barely drove 60 because of it, even that was scary…and it wasn’t that windy of a day.

I am thinking of moving up a few ladders to a Tiguan (regular, not allspace), X1 or a similarly sized crossover car, but I don’t know what I can expect in this same situation. Tiny hatchbacks like mine are very light, which crossovers aren’t, but then again crossovers have a higher center of gravity and they are taller, so…will it be different reasons leading to the same result?

Also, bonus question, I never drove a longer sedan or wagon in windy weather, do they handle any better in those conditions?

2

Drag coefficients are directional. Cars are designed to have low drag coefficients against a headwind, because that’s what you’re effectively facing when driving, and what costs you fuel efficiency. But sway is mostly caused by crosswinds, and so I wouldn’t expect much optimization, and hence not much difference, between cars there.

So the question would just come down to cross-sectional area for the amount of force, and width of the wheelbase for how the car responds to that force.