How to create a wavy line with consistent wave regardless of anchor point spacing?

The above image shows my problem. All have the same zig zag effect setting, but due to inconsistent anchor point spacing there is inconsistent waviness. Is there a way to make a wavy line that is not a distortion based on anchor point distances? I'd like all my wavy lines to look nice and consistent like this:
The only reason they're so consistent is the absolute setting has been used but these lines are all straight and have only 2 anchor points, start and finish, hence the wave is consistent. It's harder when the lines are curvy and have a different number and spacing of anchor points.

If you want the fill to follow the boundary, here's one way to do it, more easily done than demonstrated:

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