There have certainly been times when I needed a cane to be able to stay on my feet for extended times (craft shows, etc.) or to keep my gait from making my knees worse. But my physical strength was still good enough to let me use the cane as a weapon.Most (if not all) moves can be applied in multiple ways. Although at some point the student should be picking up on those ways themselves, rather than being explicitly told.
Needing a cane does not necessarily mean you can't use it as a weapon. Needing a cane covers a lot of territory.
Carrying your escrima sticks might be a bit of an attention grabber. Carrying a cane, not so much. And you can carry a cane in places that will not allow other weapons (i.e. on a plane).