A control circuit accesses patient information and treatment-platform information and uses that information to automatically suggest a treatment plan having at least one of a given number of treatment-pathway traversals wherein the given number is permitted to be greater than one and sub-treatment-pathway traversal-based physical alterations to at least one of the dynamic elements of the dynamic radiation-treatment platform. By one approach the aforementioned patient information can refer, at least in part, to the patients external contour and a treatment targets size and position with respect to the patient. The patient information regarding the treatment target can represent the latter as a simple symmetrical geometric shape (such as a cuboid). The treatment-platform information, in turn, can refer, at least in part, to dynamic elements of the dynamic radiation-treatment platform itself.