Kid, I hear you.
What's missing from your picture of voters too lazy to locate and transport themselves to a polling station is that poverty comes with various burdens on time (most of the poor have to work - shocking, I know), childcare responsibilities, language barriers (in some cases) and deficits of transportation that may thwart the best of intentions. As a practical matter, one role of government is to improve access, without partisan influence.
You wouldn't probably question this role of improving access in other areas of life. Would you tell your public library, "Hey, no need to bother with a handicapped ramp or elevators up to the stacks! If the disabled really want books or other information services, I'm sure they will find a way!" We don't sit around and make an issue of whether libraries are "meaningful" to the handicapped. The fact is, if our society values something, we come together and try to make it accessible to everyone. That's kind of the point of civilization.