Except that you're describing commerce, not capitalism. Capitalism is the idea that the commerce has value, and that one can own the value of the commercial activity. Further, the value of the business is tied to it's growth.

Further, products and services are never exchanged in an equitable transaction between two parties, because capitalism necessitates a third party, the capitalist. The capitalist must acquire products and services from employees for less than their true value, and then sell them to consumers for more than their true value.

And because capitalism demands growth, one or both of those two margins must continue to expand. This means workers must be pressured to work for less and less, which is why the capitalist opposes social services, universal healthcare, and affordable housing. This also means the capitalism opposes consumer protections, environmental protections, and taxes that provide a functioning society that might interfere with their growth.

Now what happens when every producer and consumer is fighting for the same margins, the same advantages, and the same growth? Then the capitalist seeks new avenues for new capital and new capitalists. Building business on ensuring the growth of business for other capitalists. Selling the idea that you, too, can join us at the top of the pyramid, all the while kicking down ladders they climbed to get there.

So no, the system itself isn't a pyramid scheme. It's just an idea that encourages pyramid schemes because it relies on impossible growth, like a cancer eating away at society.