One man's paint splatter experience
I had an oak floor, circa 1940, with a great deal of paint splatter and ground-in dirt around the edges as well. Otherwise, the floor was in good shape. The finish looked like shellac, and was. I chose to rub the problem areas with shellac's solvent-- alcohol-- dissolving the upper layer of the finish. In the process, the paint and dirt were liberated. In this case, I judged that a recoat was not necessary, though shellac will let you get away with recoating. The risk, of course, is a "too-clean" appearance where you rubbed with alcohol, and then you want to do the whole floor.
Now.. the commercial solvents will either affect the paint splatter without affecting the finish, or they'll do just what the alcohol did in my case.