Laying out timber decking material onto curved surface using FlowAlongSrf / Project command?

Hi Guys, I have extracted a curved surface from my model that I want to cover with timber decking plywood. However FlowAlongSrf and Project commands seem to distort the polylines that are being projected on the surface.

Project command seems to be more accurate, but the distortion is crazy at the curved areas. Could any kind souls provide any suggestions?

Here’s the link to the file

Thank you so much for your time!

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