“Two words: No horses”
One word: Human.
There is a reason wheelbarrows have wheels. And why shopping carts don’t have skids to use when crossing flat floors. And that reason is NOT “Horses”.
I expect that Mayans did use wheels, just not on carts. The problem is that there are no draft animals that the Mayans had access to for which a wheeled cart carried more than packs. Prior to the development of roller and ball bearings any increase in load afforded by a wheeled cart pulled by humans was consumed by the friction of the wheel bearings.
I would expect that the Mayans did use small wheels to help them build their cities, better known as pulleys.