hehe. 
You’re going to give me the honour of presenting the final output?
I think it does the job. (I scaled it up for the image.) There’s quite a lot of geometry outputted at the end for designers to work with, however, it failed with my more advanced 3D surface. I’m still working through some of the possible fixes. I guess using this method you’d have to rotate it back into place but that shouldn’t be too much trouble if one kept track of the UV rotation angle in the first place. I’ve attached the original dyn file and lightweight REVIT model that I used.
Example Surface Lite.rvt (2.0 MB)
Example Dyn Code.dyn (50.7 KB)
I also wanted to reference this old thread about the spilling of points / isocurves beyond the limits of the surface as others such as @Dimitar_Venkov and @Ben_Osborne have already noticed the issue.