Aaron Labaree sketches it out:
In a 1943 study of White House cases, Dr. Jay Hoffman noted, “It is the rule that these patients are, with certain notable exceptions, quiet, pleasant, congenial, cooperative and well-behaved. They accept their enforced hospitalization with a remarkable degree of passivity and frequently without even verbal complaint.” Typical cases have remained strikingly similar over the years. “People usually go to the White House to tell the president what God is telling them or to warn of some impending disaster,” says psychiatrist David Shore, who worked at St. Elizabeth’s in the 1970s and 80s. “In some cases, they think that they have come up with a great invention or performed some great deed and expect to be rewarded.”
Most are schizophrenic. Some are experiencing a temporary psychotic episode. A few are on drugs. The basic motivation—to accomplish great things or avert great danger by going right to the top—seems to have remained the same throughout the decades, although over the years, specific concerns have shifted. Case studies by a number of researchers provide snapshots both of the historical period in which they occurred, and of the delusions associated with them. Many of [Dr. Jay] Hoffman’s patients came to Washington to complain about pensions owed them from service in the First World War, to advise the president on how to steer the country out of the Depression, or to warn him about Nazi plots. …
Kevin Carr, the New Jersey teenager, told police that he had an appointment with the president to discuss the conflict in the Ukraine. And Omar Gonzalez, expressing a fear that may be inspired by global warming, said he’d come to warn the president that “the atmosphere was collapsing.” As Dr. Hoffman wrote back in 1943, “It is only the content of the delusion that changes during the years; the patient otherwise is essentially the same.”