i never said your vote doesn't count. i said it doesn't matter. there is a difference.
although your vote is about as significant as the many votes that are thrown away every election, so i suppose it's not too far fetched to say they don't count if you want to be pessimistic. you could even pretend your vote was tossed every election you voted in and still nothing would be different.
I understand your argument. It's a collective action dilemma: the cost of voting is higher than any potential benefit you will get from it. And the reason that benefit is so low is because your influence on the election is incredibly tiny, statistically negligent.
But that doesn't mean it doesn't "matter" or "count" or whatever verb you want to use. It just matters as a fraction of the electorate. The larger the electorate, the less your vote matters. That's democracy. That's the whole point of democracy. That's why local races are even more important to vote in, because you take up a larger fraction of that vote (and those issues impact you more immediately). So yes: your vote matters an incredibly tiny amount. But it still matters.