Wet core and rotting core are not the same thing. Rotting cores are almost always wet, but wet cores may not be rotting.If there's existing rot/wet core, then the fittings are rebedded, does the rot spread and if so, how fast?
So to answer your question, it depends. Rotting core gets to be an issue when the core has deteriorated to point where it can no longer keep the 2 skins apart. The deck will feel spongey.