Agree with above - Marine grease, Mercury or Evinrude are most commonly available.
It does make a difference, although I'm not sure what the difference in the composition is.
Supposedly added water repellency, perhaps thicker (or thinner) consistency.
Do not, however, use it on the trailer for things like wheel bearings.
They run hotter than the marine grease is designed for.
I've gone over to having two grease guns.
One loaded for the motor etc., and the other with bearing grease for the trailer.