The general public doesn't seem to realise just how hardcoded the Egg-Slimer is. Something similar, while probably SOCcable, would work completely differently.
SOCs simply cannot access things like axises, and NiGHTS mode paths. Nor is a trail of "waypoints" really reasonable. What would need to be done, would be a map with a bunch of state changing linedef executers, set to move a thing along them by altering his states to do stuff like jump, run in a direction until he hits another linedef executer, etc.
Getting the actual player out of the way is the hard part. You could probably put him away in a random sector somewhere, and use a cut-away-view, but then the camera would be fixed. Unless you use a trick with a bunch of invisible FOFs and an elevator.
It's probably possible, but not really reasonable.