Most of the various tips I've seen on constructing billboards (at least, without the use of the old legacy particle system) involves constraining them to the camera. This works fine for a scene with a single camera, but oftentimes, particularly in animations, you'll want multiple, and they can be easily switched using markers. However, to the best of my understanding, this sort of breaks the "constrain to object" method of creating billboards.
Ideally, somehow tracking the object to whatever the active scene camera is would solve this problem. How could this be done? Geometry nodes? Some sort of driver-and-constraint wizardry?