yes, there is appreciable difference. VIM/VAR or VIM/ESR 304 is cleaner than regularly melted 304. i had customers ordered both VIM/VAR and VIM/ESR 304 for medical and watch applications asking for least inclusions to control polish process (watch) and implant (medical).
Interestingly, VIM/ESR is a bit cleaner than VIM/VAR, although the latter is double vacuum melt, while ESR is not. it is a bit against intuition.