Only inside of individual districts-- eg, a senate race is a statewide popular contest. There are no federal popular vote contests in the US (although there is some momentum towards reform in that regard).

I'm not sure that the average voter really considers the electoral college today. Voter comprehension of it has historically been very low, at least. But you're right that many non-swing-state voters stay home after (correctly) figuring out that their votes are meaningless.