Not an issue using Dino or Synthetic car gear oil provided that lower gear seals aren't letting water in and working in top shape, must meet the following spec : API GL5 SAE 80-90, just change it every 100 metered work hours. As an example Tohatsu does not require or recommends owners to use "marine gear oils" on their OB's just what's posted above.
Been using standard car oil for the past 20 years and not a single gearbox issue or failure on any of my OB's, When in need to change after 100 worked hours, old lube exists bit exhaust contaminated which is normal , but free of metal powder or particles when finger rubbed.. Use whichever you think is right or comfy with..
Happy Boating