When Tennessee’s Republican governor, Bill Lee, dispatched his National Guard troops to Washington to support President Trump’s crackdown on crime, Democrats and other critics wondered why he didn’t keep them within state lines.

Memphis, after all, has long been one of the most dangerous cities in the country, with a murder rate about twice as high as the nation’s capital, according to F.B.I. statistics. Nashville has a higher rate of violent crime than Washington as well.

The same questions could be asked of other Republican governors like Greg Abbott in Texas, Mike DeWine in Ohio and Mike Kehoe in Missouri, since cities under their purview all have higher rates of violent crime than the nation’s capital. Yet no Republican governor has asked for federal intervention.

The image of red-state governors mustering uniformed troops for duty in blue-state cities has left many Americans with the foreboding sense of a nation dangerously divided, perhaps even drifting toward open conflict. Mr. Trump denied statistical reality last week when he was asked whether he might send federal forces into high-crime cities in Republican-led states. “Sure,” he said, “but there aren’t that many.”

There are that many: Kansas City, St. Louis and Springfield, Mo.; Birmingham, Ala.; Cleveland, Dayton and Toledo, Ohio; Tulsa, Okla.; Memphis and Nashville; Houston; Little Rock, Ark.; Salt Lake City; and Shreveport La., all have crime rates comparable to Washington’s, according to F.B.I. statistics.

But the reality of Mr. Trump’s deployments in Washington has also not matched the stark “invasion” rhetoric of some Democrats, who have raised the specter of an uninvited occupying force in their cities. Indeed, Republican governors who have so far declined to ask the president for an intervention in their cities might be tempted to rethink that stance.