Yeah this is bullshit and I question the sincerity of anyone saying this. We know empirically that areas that tend to vote left-wing have a harder experience in voting compared to areas that don't. If voting didn't matter there wouldn't be a targeted effort since 1865 to make it more difficult for some groups over other groups.
People have quite literally risked getting into sent to federal, rape in the shower, prison for decades to prevent black people from voting. You don't do that if you think voting doesn't matter.
You wrote about "ancient" history. Your points were correct but irrelevant.
On January 21, 2010, the court issued a 5–4 decision in favor of Citizens United that struck down the BCRA restrictions on independent political expenditures by corporations as violations of the First Amendment,
It doesn't matter who wins if the corporations have bought both sides.