There are two ways to approach this: (1) with paper and pencil, (2) with a bike, your legs and you brain (but not a bike computer).

Using paper and pencil the difference comes out very small. With a bike, your legs and your brain, the difference may be large or small, depending on your riding style and terrain. For me, heavier tires make a big difference in the way it feels to ride the bike. I'm not saying I can't get the bike up to speed just as quickly with heavier tires, I'm saying it feels different. I notice this mostly on days when I'm riding briskly and when I'm going up steep hills. If I'm just cruising along, it's not such a big deal.

That said, I do agree with cplager that tire composition is a bigger deal. I would add that heavier tires tend to be constructed in such a way as to have higher rolling resistance than their lightweight counterparts. I don't know how the two tires you're considering compare in this regard.