On the new bikes, you'll have lift pins and shift gates, and the chainrings are directional. The sprocket teeth may not be centered on the chainring either. So the change may not be as straightfoward as one might want.

Your old Univega probably doesn't have that, so you should be fine.

Swapping middle and outer ring may mean reversing the ring because of countersunk bolts. If the teeth are symmetrical, that may not be a bad idea anyway, as it could even out the wear.

The one thing you will loose is the pin next to the crank arms. It isn't a big deal, but if you ever drop the chain on the outside, then it will have a greater likelihood of getting stuck, and scratching up the cranks, and even bending the chainring.