It shoudn't do any harm.
It also won't do any good.
Since you have the oil laying around, run it over the hot summer months.
I doubt you'll notice any difference in fuel consumption.
The JD+ is intended as a long drain oil, so you could probably run a fill of it from early spring through early fall.
What is its API rating?
Current spec diesel oils are intended for use with ULSD, and regular gasoline contains more sulfer than ULSD, so it may not be possible to run the oil as long as I would have thought.