Yes you will see a difference, especially with the Thunder Power.

More to it than just maximum amp draw. Higher C capable batteries essentially must have a lower internal resistance to avoid burning up under high discharge rates. This equates to higher voltage under load, even moderate loads. (or less voltage sag if you will)

Thus significantly more punch, and a touch more top end. Very easy to demonstrate.

Batteries are more important in Stock oddly enough, mod can always motor up.