Not at all. Score Voting as usually defined is continuous on [0,1]. Rescaling to e.g. [1,5] doesn't change this. Restricting to integers on that does; but if there are fewer than 5 candidates, equivalent rankings can still differ for total scores. It's only equivalent if you pick an integer scale [K, K+N] with N candidates, K arbitrary.

That said, I prefer score, or even approval, as that's what strategic score devolves to, but without huge amounts of information loss.