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.
> if there are fewer than 5 candidates, equivalent rankings can still differ for total scores
I’m having a hard time following, can you give an example?
I’m saying that Borda allows voters to give one candidate 5 points, one other 4 points, etc. and score would allow voters to give as many candidates 5 points, as many candidates 4 points, etc.
I'm not super familiar with score, but the advantage in this scenario is that voters call all input the same way and get borda + IRV + a potential condorcet winner.
If you allowed same scores then you can't do both simultaneously and/or the UX gets really funky.
you can do both simultaneously if you count ranked ballots like an election office would: you throw away all tied rankings, and rankings that come after :)
That said, I prefer score, or even approval, as that's what strategic score devolves to, but without huge amounts of information loss.