Do you know ways of extracting aligned edges loops from mesh?

mesh sample.stl (167.9 KB)
In a mesh like this ^ we can see some parts being some generic triangulation, but some others being from obvious solid boolean operation from a revolved shape.

Edges there have a more coherent structure, if we “pair up” edges around every vector we might able to retrieve “U” and “V” isocurves/polylines of the original revolved shape.

Do you know any tool or logic to go in this direction?

(A first step would be to quadrangulate the mesh, probably… but maybe not, I might want to avoid the risk of deleting useful edges…)

Edit: I need to extract every edge-chain loops.

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