It would work better to combine Overlord's and Fquist's ideas:

Make the warp addresses dynamic, so they are randomly changed every time you run JJ2. This will prevent people from using programs unless they search every time. But also have Jazz 2 send a signal to the server if the player tries to access the original addresses. The server could have a setting like "On cheat attempt: Auto-ban, Auto-kick, Prompt, Notify, or Do Nothing"

That would work for other cheating addresses as well, not just the warp ones.

There is probably even a way to detect if someone is writing to the memory; like have JJ2 check if any variables have changed to something that they aren't supposed to be at.