Yes absolutely the von Neumann architecture gave rise to the dominant means of computation - formulas and algorithms translated into imperative programs yoked to instruction pointers and addressable memory.

But there is that step of translation. Perhaps we became so fluent that we stopped noticing we were doing it, and perhaps even to start thinking imperatively. But it's not "natural".

Look at computing polynomials by differences (giving rise to the idea of the difference engine): better described as an iterated procedure than an imperative program.

Or "constuctive": Construct an ellipse naturally by the pins and string method. Bisect an angle naturally using straight-edge and compass.