There's a superficial similarity, in that both situations (infinite voters, and real-number range voting) have an uncountable ballot space. Where by ballot space I mean the set of all possible combinations of votes for all voters. But otherwise, it's not really equivalent at all. For one thing, range voting doesn't actually require infinite precision. Even if the only values allowed are {0, 1, 2, …, 10} it still gets around Arrow's theorem, right? Even though you actually have a finite ballot space in this case.