Oil is sitting in the bottom of the pan, not circulating, so I don't think it makes a difference. Unless you are looking forward to cleaning the sludge out of the pan later.
I would put fresh oil in it , plug all openings . Spray some oil in each plug hole and roll the motor over every few months. That's how I do it any way .
If it is running I would put some fogging oil in it until it chokes out.That's how I store my boat motors, never had a problem.