What's the correct way to define a __next__ iterator method?

Below is an iterator that given a start and a stop values it yields integers incrementing by one:

class Iterator:

    def __init__(self, start, stop):
        self.start = start
        self.stop = stop
        self._start = self.start

    def __iter__(self):
        return self

    def __next__(self):
        self.current = self._start    
        if self.current >= self.stop:
            raise StopIteration
        self._start += 1
        return self.current

I see the above version used by everyone. Woudln't the following version be more readable? It also avoids the use of the if conditional if that's a good thing.

    def __next__(self):
        self.current = self._start
        while self.current < self.stop:
            self._start += 1
            return self.current
        raise StopIteration