Why won't the Avengers help the "irrelevant" people?

On the TV show Person of Interest, each episode began with a narrative by Finch about the machine he built that detected threats to ordinary people whom "the government considered irrelevant. They wouldn't act so I decided I would".

In BvS, we saw Superman saving a little girl from a fire and the Flash stopping a grocery store robbery. In the JL trailers, we saw Wonder Woman come to the rescue when armed robbers take hostages.

But we've never seen the Avengers save ordinary people from a fire or stop a grocery store robbery or take down some hostage-takers. In fact, in SMH Tony Stark even points out to Peter Parker that helping the irrelevant people is below the Avengers' pay grade.

So the Avengers won't help anyone who can't afford to pay? If you're not in the highest tax bracket, the Avengers won't help you?