I think you're better off spraying the fogging oil right directly into the carbs. The reason is, much of the oil will be lost to the inside of the airbox. So, remove the airbox to fog while running with no water and squirt oil like mad. to get a nice plume of smoke quickly before the engine can heat up. Once you feel like you're in Beijing shut if off, this might take 30 seconds if you're quick with and can get the oil going.
Running the engine without water pushes unwanted water out of the exhaust. Engines with interference type rubber impeller cooling water pump should never be run without water, even for a few seconds. That's not the limitation for the seadoo 951, you can run for up to a minute with no water. I don't remember last time I connected a hose to mine, it's rare, but I live on the boat ramp practically.
I fog many motors in a day, so I have a pressurized portable tank and the oil squirts fast enough I could wet you down before you realized what hit you. Some aerosol cans are from capable of producing a good strong stream so in that case I put oil in a squirt bottle (like a windex bottle) and go to town with that.
I like to fog without water on b/c that leaves less water in the exhaust and it doesn't take long to get that plume of smoke if the fogging setup is "fine tuned".
If you have any doubts about sufficient protection oil just remove the spark plugs, if wet with oil you got her done. If not at that point then squirt some in the cylinders, a couple tablespoons, ground the plug wires and crank her over to distribute the oil and be prepared oil might fly out, so cover the plug holes with a rag.
Next I go to it using the 100% pink RV antifreeze.... Assuming this is carbed, it's an easy process, DI is more involved.
Down at the bottom of the engine block you'll find the block cooling water drain tube attached to a nipple, on the starboard side down low in the center of the engine between the two cylinders. Pinch this line using a hemostat, so antifreeze will fill the cylinder block.
Disconnect cooling hose at top of engine cylinder head and pour 100% RV antifreeze into the head hose nipple until pink antifreeze begins spilling out the hose flush port on the jet pump. Now the system is full and water is displaced with antifreeze.
Wait a minute then remove hemostat, the system should drain and empty out the block drain that exits near the lower edge of the jet pump. under the control cable starboard side. If it doesn't drain it's clogged, and that's a problem.
Take the battery out or leave it in disconnected, bla, bla,bla Also remove the transom drain plug(s) to avoid sinking on the trailer. I see lots of boats are damaged badly b/c the drain plug was left in the transom. Spray mist the engine and drive shaft using protective oil to reduce chance of corrosion. Try to get some in behind the PTO to keep crankshaft from rusting.
That should do it, install the s-plugs to keep out moisture..