Historically, I think this would exclude a lot of well known scientists. Consider, many of them were running experiments to find an answer. Could have been aiming cannon balls or planting crops. Or, in the case of many of them, looking for a way to transmute matter. :)
More recently, a lot of scientists worked to figure out atomic energy. Most, in likelihood, we do not know the names of anymore.
I think of it as musicians. If you define musician to be rockstar, there are not nearly as many as if you include school teachers, symphony players, conductors, etc. Yet, for most people, this later set would definitely be considered a musician.