Re: Engine dies suddenly but starts right back up
My first take is it is an electrical problem. Loose or broken wire to the coil, something like that. Since it is a family member and no one is trying to scam anyone I would ask them a little more about what they have done or did just before you got it, things like that. Maybe someone was in there and leaned on a wire, or had to remove something to get at something else, that kind of thing. It could help pinpoint a physical area of the engine or any other part of the boat where a wiring issue could lie.
It could be the unit inside the distributor aging, or cracked wires there also.
When on the water and it dies I would look down the carb and push the throttle a few times to see if the accelerator pump squirters give the same good full streams all the way thru the stroke to see if the carb has fuel. If the streams falter or vary after a couple of strokes then the fuel bowl may be drained indicatiing a problem with fuel delivery. You have an electric fuel pump that will only get power while the engine is running. There are some components there that can fail or have wiring problems. A relay is involved as well as a special output from the alternator. If those are not to spec or broken then the fuel pump will not get reliable power.
Also I would want to check the spark by removing coil wire from distributor cap and have some one crank it while you hold the end close to a ground.
Just be ready to do these diagnostics on the water if/when you go out again to help eliminate or illuminate problem areas.