If you think of water pressure from a tank to a tap as a “push” then potential difference is also making such a push. Well yeah ambiguity from colloquial terms exist here, but it is not between push and pull. The two points making potential difference, “pushes” amps through the wire connected in between them. You can say that is not a push but like a chain being rotated. The volts is doing the rotating aka pushing+pulling of the chains. But saying a device pulling amps is essentially that devuce becoming less resistive to the push done by volts