No, it probably wasn't solely the wheels. It was largely you thinking it was the wheels because you weren't having faith in you. A few more rides, when the novelty of the new wheels wears away, you'll give proper credit to yourself, which in turn may cause you to go a bit faster, and because you're going faster, you will no doubt get the training advantage of going a little bit faster still. So, only indirectly was it the wheels that made you faster, but now you can take over and simply make yourself faster.
There is mechanical advantage in the wheels, but no magic. Not to be trite, but the magic is in you, Robert Foster.