Objects move with cplane moves?

Is it possible to have objects move with the cplane they were created on?

Let’s say I made a bunch of stuff that’s location is relative to the floor on which it resided. And then I changed the height of the floor. Any way to make all the stuff move with the floor automatically?

Not with native Rhino tools.
That’s pretty simple to do in Grasshopper prior to “baking” the objects.