“People who say that 15 minutes should be cut are people who can’t analyze anything other than the time on their watch,” he said. “I think ‘Hamilton’ is a show for the ages, and I have developed enormous confidence in the process by which the creative team is working.”

Whether “Hamilton” will remain a hot ticket on Broadway is the ultimate question for Mr. Seller and his investors in the show, which will cost about $12 million to mount on Broadway. They will have more than 11,000 seats to sell each week at the Richard Rodgers Theater, compared with the 2,400 a week now at the Public. Selling out the Rodgers depends far more on attracting tourists than die-hard theatergoers from the Upper West Side; tourists account for about two-thirds of Broadway audience members, while residents of New York City and the suburbs make up only a third.

To put the question another way, will “Hamilton” turn into the next “Book of Mormon,” which has become a must-see for tourists and locals alike, charging up to $477 a ticket and likely to run for years? Or will it be the next “Bloody Bloody Andrew Jackson,” another critically lauded, politically themed hit at the Public that transferred to Broadway and surprised many by failing to catch fire with tourists and closing after three-and-a-half months?

“If you ask my aunt who lives in Ohio, she has never heard of ‘Hamilton,’ but theater people can’t stop talking about it,” said Hal Luftig, a Tony-winning Broadway producer (“Kinky Boots”) who is not involved with “Hamilton.” “Every so often a show comes along that reflects the American zeitgeist — in this case about race, immigration — and that is so cool, so fresh, so relevant that everyone in town has to see it. We haven’t had a show like that, like ‘Hamilton,’ in a while.”

Mr. Seller was circumspect on Tuesday about the arguments over moving quickly to Broadway or taking more time to work on the show. He said he, Mr. Miranda, Mr. Kail and Mr. Eustis, “really thought it through like a family” and that, though they were “passionate debaters” on the pros and cons, there was no yelling or and no ultimatums.