1. Why carve?
Others have answered eloquently. I'm going to answer a related question - why hard boots?
I come from both a skiing and skateboarding background. Skating is what got me interested in snowboarding, but years of skiing are what give me my goals - to ride the whole mountain with style and speed. I'd like to be able to make any turn shape at any speed anywhere - that defines the truly expert skier and it's my goal as a rider. Hardboots make that possible. As the snowboarding population gets older and the boards get better, we're seeing more and more softbooters opt for stiff soft boots and stiff bindings, so that they can have the control to do what I already can do in hardboots. What is a pair of Malamutes strapped into Nidecker 900s but a watered down hardboot setup?
2. Do you feel limited?
As others have said, it's not the ideal equipment for the park or riding switch. Other than that, I don't feel limited at all. I take my all-mountain board with 45-ish angles everywhere - steeps, bumps, trees. Carving hard on the groom is just a bonus to me - I'd rather be in the fluff or the bumps most days.
3. Can resorts make it better for carving?
I think resorts already have enough groomers for my taste. I think the way they could improve them is to mark and patrol some of them as intended for high-speed carving. The terrain park exists to go big - let's make some of the steep groomers safe to go fast by marking them clearly, closing off side access and harassing people not for going fast, but for going too slowly or for clearly being outside their limits on a trail intended for experts.