This isn't true. If voters are voting randomly (or effectively randomly) then that's just noise in the system. Worse, if voting is based on candidate exposure (i.e. voting on who had more TV ads rather than policy) then the votes are explicitly not representative of voter preference (unless the candidate that advertises the most also happens to be the true preference of voters, but we should not assume this to be true). Your statement is only true given a large amount of assumptions which typically do not hold true in practice. It holds true if voters are both informed, vote purely honestly (no strategy or no manipulation which includes through ads), and candidates are fairly representative of public opinions. I don't think anyone would argue that these three assumptions hold true in most elections. Real world doesn't have idealistic conditions.
So no, more voters does not result in better representation.