The pattern in OP's project can be called phyllotaxis. This is supported by the link you provide which gives even looser examples that are still described as "exhibiting phyllotaxis". A lot of words refer to nature if you look into semantics, not surprising if you consider the amount of beautiful and useful patterns it gives us.

There is no worse form of bikeshedding than naming pedantry.

I disagree with sibling comments. You are correct to express the confounding implications of a word choice. And they have only detracted from the point you make.

Of course the design is cool and beautiful, but it is not the thing it is called here.