Someone made this distinction between "potting up" and re-potting. I don't know if it's a universal distinction that everyone makes, but they are useful labels for quite different things.
"Potting up" is when you move an intact root ball from a smaller pot into a pot that's a few inches wider and deeper.
That person only uses the word "Re-potting" for all-out soil replacement - remove the old root ball from the old pot, remove most of the soil from the root ball , re-pack the naked root ball with fresh potting mix that is WELL aerated, and put it back into a pot that might or might not be bigger than the original pot.
And fairly often, depending on the type of plant and how root-bound it was, in that person's usage, "Re-potting" often included intentional root pruning.
I'm sorry, but I don't recall who I learned that from. But she was probably an ATP member and might read this. Hello! Thank you! I'd give credit if I could.