Naruto can exhaust his concentration or make an error and expend too much chakra toward one activity which compromises the integrity of the clones he makes. He stretches himself thin because he doesn't just sit around issuing missions, signing agreements, attending meetings and being a leader. He makes clones to assist the elderly and run errands for other members in the village. Dude makes certain he can be in alot of places at once because Naruto is a giving, lovable dude. But he doesn't have limitless stamina. He has a deep reserve of chakra but it means little if he's exhausted from the trials of successfully running and sustaining an entire nation.
Asuma was an grown adult by the time he's introduced to the reader. We don't know if he had angst toward the third Hokage for his duties. We don't know much about his youth outside of the fact he grew up with the current older Jonin/Chuunin teachers of his generation. Boruto is like 12. He's immature and thinks the world revolves about his problems because preteens are self absorbed little shits. Kid just wants his Dad, not a legendary hero figure so the reader has to gain the sense of all of the angst fueling Boruto's retarded early decisions. As adults we have clarity into Boruto's insight and Naruto's greater responsibility which is why his tale is a little tragic. But Boruto being a kid means he hasn't matured enough to rationalize things like the duties of a Kage. He sees an issue that can be easily corrected in his mind but can't see the implications that would occur if Naruto dropped everything all the time to be with his family.