Lets imagine two skis, one designed to be mounted center, the other designed to be mounted at least -10cm from true center.
Both have about the same waist, same length, both have about the same stiffness and both employ rocker, both are meant for 50/50 pow/hardpack.
The near-center mount skis: you do notice the large amount of tail behind you - this makes me stay more centered on the ski and I sort of pivot on my heels. Super fun and easy to ride switch, but it is possible to get to forward on them and go over the handlebars in pow. They are usually a little more unstable at speed since you're riding dead center on them, just not a lot of tip to stabilize you if you get wonky. Think Eric Pollard.
Far from center skis: very much more stable, as long as you stay pegged forward with your shins constantly pushing as hard as they can against the front of your boots. They dont go switch well, but you can bet on them being able to take you everywhere else with ease. If you do get backseat though, even a little, expect them to kick your ass and take you for a ride. Emulate Hugo Harrison on these.