Hi Mike, yup the "refit to tolerance" mode can tend to help resemble the original curve more accurately since it's adaptive and can add more detail just in bendy areas.

After you have done a rebuild like that, the result is all ready to go as far as eliminating parameter-space compression or stretching and it doesn't particularly matter how many control points are in the result.

So anyway, after all this I hope this explains why you it's not really needed to have an "unwrap to line with same control point structure" - instead of worrying about replicating the uneven spacing in your line it's far easier to just rebuild your bendy curve and then it's all ready at that point and will then match to a simple 2 point line segment just fine.

- Michael