A rug pull involves convincing someone to buy something first.

Theft doesn’t have to involve any convincing.

This is a pretty basic distinction. Perhaps you were thinking of “fraud”?

A few extra steps. Usually, the rug pull doesn't involve directly taking something that belongs to other people, but instead, selling your own thing in a dishonest way.

A rug pull means you hype and then sell on the open market without.

Rug pull is a trap, which can include theft. (You pull the rug and the victim in the cartoon would fall into the spikes hole).