Does it matter to pro-governmental regulation people that regulators are not affected by the vote? Politicians aren't regulators. They only have marginal influence over the agencies. The vast majority of regulations are designed and administrated by the unelected. This is true on the federal and the local level.

It seems to me that the reason many people support government involvement is because they think the involvement comes at the hands of elected delegates. It does not. When politicians say bad things about bureaucracy, it's not because they're in the pockets of name-your-villain, but because bureaucracy indeed wields tremendous undemocratic power, antithetical to what the voters say they want.