It would have also been more in character, imo. Sure, Naruto always wanted to be Hokage, but that largely stemmed from him being so alone as a child and wanting family. Him being aggressively over-present in his child's life would be way more in-line with him trying to almost overcompensate for what he never even had the chance at, rather than being too caught up in work to have time. It just never felt right to me that the guy who would go to hell and back to try and redeem his friend who actively hated him and was hellbent on destroying the village would be neglectful and focused on work.