They do for people under the age of 18. For 18+ they will wait for an invitation by local law enforcement. Then they may take primary responsibility such as a case crossing State lines or foreign borders. (Mexico)
I guess you should let Bongino know that he’s wrong.
He said it’s never like the movies when the FBI agents come in and say, “We’re taking over now”. They always defer to the locals, and if locals want to hand it over, then that’s fine.