I'm glad you agree. Except that it really isn't true.

You can (almost) double the weight of the wheels as far as acceleration goes (or even for maintaining speed). But even then, it's tiny compared to you + the rest of the bike. And small wheels with fat tires often weigh more than expensive big wheels with very light tires.

Bigger tires are often better higher pressure tires with less rolling resistance. That makes a big difference. Bigger wheels have an easier time going over bumps.

And if you're talking about 26" compared to 700c wheels, the only difference that you'll notice has to do (almost) entirely with the tires and air pressure and not the size.