dont know much about the cayenne gts, but atleast the normal cayenne can offroad as well as anything else, watch some videos they are past amazing.  if i was rich and wanted an all around fun car id take a cayenne, it will get track times up there with most sports cars, and still be able to offroad better than any stock jeep, range rover, etc...
and yeah your jeep may be able to go through the deep stuff, but how often does that happen?  usually your not driving through anything past a foot, and in that case, thats when id want something like a subaru or audi that can rip through the snow fast.  but i will admit having a good suv can be fun as hell, a couple witers ago we got about 4 feet of snow in 2 days and the city couldnt plow the streets fast enough, i had my s4, which has like no ground clearance, and suprisingly i made it like 20 miles through about 3 feet of snow back to my house, i had to get towed out once by my friend cause i hit a median (couldnt tell where the road even was, it was all flat snow) but that night basically nobody could get anywhere, and i mean nobody, we had my friends badass lifted landcruiser with big ass swampers, and we were driving all around town, down the main streets and stuff and we didnt see a single person for hours, where on a normal day it would be bumper to bumper trafic. and it was like this for more than 2 days. we probably could have robbed like every store in town and not had a chance of getting caught, but we arent that gangster. so yeah we did so much fun ass stuff in the snow it was amazing.   but yeah that was probably the funnest couple days of my life by far, and mostly because we had a badass suv.