ELKHART, Ind. — Seven years ago President Obama came to this northern Indiana city, where unemployment was heading past 20 percent, for his first trip as president. Ed Neufeldt, the jobless man picked to introduce him, afterward donned three green rubber bracelets, each to be removed in turn as joblessness fell to 5 percent in the county, the state and the nation.

It took years — in 2012, Mr. Neufeldt lamented to a local reporter that he might wear his wristbands “to my casket” — but by last year they had all come off. Elkhart’s unemployment rate, at 3.8 percent, is among the country’s lowest, so low that employers here in the self-described R.V. capital of the world are advertising elsewhere for workers, offering sign-up bonuses, even hiring from a local homeless shelter.

Mr. Obama, whose four trips here during 2008 and 2009 tracked the area’s decline, is expected to return for the first time in coming weeks, both to showcase its recovery and to warn against going back to Republican economic policies. Yet where is Mr. Neufeldt leaning in this presidential election year? He may keep a photograph of himself and Mr. Obama on a desk at the medical office he cleans nightly, but he is considering Donald J. Trump.

“I like the way he just won’t take nothing off of nobody,” Mr. Neufeldt said, though days later he allowed: “He scares me sometimes.”