Well, I'm not talking about voting or democracy in general.

I think you may be right, though: lying is necessary in politics. But in that case, I return to my question: Why do we still demand that politicians speak to us? Or as you put it, why would we want to hear from politicians, if we know that they can't possibly be honest in public?

There are lots of dirty jobs out there, such as cleaning toilets, fixing sewers, butchering dead animals, and so on. Why would we make such jobs public? If politics has to be dirty, shouldn't politicians stay out of the spotlight? Shouldn't we have no interest in hearing from them?

As to how politicians could get elected when they're naturally shunned by the public, how about they put up their record and perhaps a speech about the policies they intend to pursue, and folks could vote on that? Once they're in office, they either succeed or fail to handle crises, as reported by the media. The public can judge politicians based on their record in office. There's no need to hear from them.