This is how the collision object looks after the Conform_Wrap script has been run.
If there is any pinching simply select the verts that are pinching, add a relax modifier.
Now, with those verts selected, rerun the Conform_Wrap script. It will work at the subobject level as well.
The script will add a morph modifier and add the new shape to that modifier. If the modifier exists it will add it as a new target.
This allows you to "undo" the reshape by deleting the target or setting it to 0.
You can also easily work with different vertex selections and add new targets with each execution of the script.