But in a city where aides and operatives take an almost perverse pleasure in checking their email in the middle of the night when they wake up to go to the bathroom; in a Capitol complex where lawmakers are often trailed by “purse boys” and “body men”; and in a building that still employs staff to press the elevator buttons for the senators, some members seem to take pride in not emailing.

In some ways, after all, eschewing email can be seen as the ultimate status symbol — second only to sending someone to fetch your lunch. Mr. Graham — rarely a sympathizer with Mrs. Clinton — could have given her tips. His frequent Republican sidekick, Senator John McCain of Arizona, has said he also does not use email — in part to prevent himself from filing off hot-tempered missives he might regret.

Nor does Senator Charles E. Schumer, Democrat of New York. “Maybe once every four months, I do one email,” he said, with evident relish. “I like to communicate by talking directly to people. I find it’s an important part of humanity to understand not just the words that are said, but how they’re said, the tone they’re said in, the speed they’re said with.”

And Senator Orrin G. Hatch, Republican of Utah, said his email habits tended toward “not very much.” When he does turn to his iPhone 6 — “the latest,” he noted — his emails are “short things, like ‘Thanks.’ ‘Great.’ ”

In a Capitol where bare shoulders for women are considered too informal for the Speaker’s Lobby just off the House floor, forgoing email also seems like a polite vestige of the rules and etiquette that once reigned.