Tire weight affects rotational inertia a lot more than wheel weight. However, it's still only on the order of 1.5x non-rotating mass (i.e, save 4 lb on tire weight and acceleration is improved as if you saved 6 lb).
But other tire qualities might be more important to you..
Continental tires are very lightweight, but they are in general also poorly rated for steering responsiveness and cornering stability.
https://www.tirerack.com/tires/tests...y.jsp?ttid=190
Conti DW:
"What We'd Improve: More precise steering response and handling"
I've only had one set of Conti tires. They were lightweight for sure. But the sidewalls were limp and fun-to-driveness went right out the window...