Always before storage. Its an industry accept practice with any engine, be it marine, aircraft, motorcycle, ATV, lawnmower etc
I know some may say otherwise but the engine makers know best, its way oversimplifying that oil has buffers to absorb acids. Part true there are buffers but not by any means the reason not to do so.
One very basic example, fresh oil will have fresh rust and corrosion inhibitors in it to help protect the engine from developing rust on the interior surfaces. But forget what I say and listen to the engine maker.