I agree that it's going to be easier to use positional 3 axis toolpaths rather than trying to do a simultaneous 4 axis path.
2D wrap is only for very specific and basic features and cannot do inside work anyway.
I can get a simultaneous 4 axis path with Geodesic in 4 axis but it has some collisions that make it unusable.
I would turn on collision detection but that(currently) turns it into a 5 axis toolpath.
See attached for one using "to rotary" for the primary mode, this will not fully machine the inside of the tips but this can be cleaned up with a several positional flow toolpaths.
You will have to revisit the tooling selections as a 1/4" ballnose cannot machine into all the tight features