It may seem a little bouncier since the tire with be ballooned out more. You most likely have an 8" rim because they are most common, and a 10" rim is not good for the 10.50 tires you had. Also, a narrower rim will maker it harder for the tire to break the bead and come off the rim.
92 YJ, 4.0, D44/60, 5" BDS springs rear, SOA front, 1" booms, 1" BL, 35x12.50x15 MTZ's, 4.10 gears. It's never done though.