I think the plugin cannot do it.....there is an option to use a back bone spline which can be useful to follow the profile of the mesh like in this case but the problem is that the mesh overlap itself..... I'm pretty sure that the plugin cannot do a good job because it cannot understand which side of the mesh need to be covered.
You can try and then later adjust the result exploding the spline wrapper but it's not one click job
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Indeed, the Spline there in the Klein bottle was handcrafted.
I was in a hurry and if I worked longer on it manually it would be perfect.