Changing the spacing at the nut is not going to change the feel of the neck all that much--as Fronobulax points out, it doesn't address neck profile, and I would add that it doesn't address fingerboard radius, either. All it changes is string spacing at the nut, and without also changing the spacing at the saddle, it's going to give the neck some strange geometry, as the strings spread out across that very small difference. And at the nut end, it's going to put the E strings farther in from the edge of the neck, which is not necessarily a desirable thing.
About necks and hands and playability: My hands have finally aged enough that one of my guitars gives discomfort, and it's not just the width at the nut (which is the same as two other guitars)--it's profile and radius at that width. It's a Michael Dunn Selmer-style, with a classical-style flat 1-7/8" fingerboard and a very low, nearly flat profile. That combination (along with my long-standing bad habit of thumb-wrapping) means I scrunch up my left hand, stressing the thumb joint and the big muscle at its base. Instruments with beefier necks and/or radiused fingerboards are more comfortable, even at the same width. I acquired a Shelley Park guitar with a slightly beefier and narrower neck (1-3/4") that does not cause the same discomfort, and my old D-40 with its '60s Guild neck is as comfortable as ever. (Though all my guitars remind me that I no longer have the iron hands I did a decade ago.)