RTE's You're A Star used to give us the correct order every week, but not the actual percentages.
I suspect the main reason the producers keep the results secret is so that they can manipulate the hell out of the show and try and get the result they want. It was hilarious every year watching that chancer Cowell praise acts in the first week, and then having to furiously backtrack when he realised they weren't liked by the public : him having access to the figures was part of the process of trying to make him look like an all knowing music guru.