It would be very simple to do this in a script. here's one I found on highend3d - it supports curve points https://www.highend3d.com/maya/script/randomize-points-for-maya
Yep, thanks for the pointers, but I'm well aware of Maya's default methods to create curves. However, my initial point was that there doesn't seem to be any way to attach an EP or CP Curve object to the Insert Edge Loop method. It appears that the only way to add a curve is through the Attribute Editor, using the Profile…