WISH: profiles of interpolation Sweep1

It would be interesting to be able to add to the sweep1 command a option of interpolation that determines the profile of the sweep, for example, linear, cubic, blends, etc. (Currently the profile of the sweep occurs along the red curve …)

The command would be more complete, in my opinion.
(This is an example of another software):

Well this is where the Sweep 2 rails comes in.
You can have two different paths to control the interpolation.