Shikamaru's position as hokage is also a narrative payoff from part 1 which I would argue, holds more significance than Konohamaru's.
Shikamaru has no Hokage implications going back to part 1 Naruto. And even his Temari statement doesn’t make its significance more important. It doesn’t become more significant until the Blank Period Novels, which 95% of the Franchise Fanbase hasn’t even read or is aware of Kakashi’s efforts with Shikamaru.
And if we are talking about who deserves the post, I think a Hokage needs to be at least either the strongest or the smartest.
Well we know how the process works. Naruto “
could’ve” been selected as Hokage after the Pain Arc in an alternate world, based on what was being said in that meeting with the Daimyo. So if Strength or Intelligence were your guiding factors, Kakashi wouldn’t likely be Hokage at that point, even w/o Danzou Shenanigans. You’d be looking at Naruto or Shikaku for example.
Not saying the case for Kakashi wouldn’t make more sense, but the conversation is more nuanced than just the strongest or the smartest deserves the post, because that’s not the case necessarily.
There is no point in making Konohamaru the Hokage if there are stronger eligible people present.
It’s more nuanced than that. Via In-verse standards, with his reputation, lineage, etc, we all know Konohamaru would be a eligible Kage candidate, among others. He has shown that he has the strength and mentality of the Kage tier (Now how people break that down into Low, Mid or High is up for debate). Now imo, which is a separate thing obviously, it makes more since to have Shikamaru remain as an adviser and have Konohamaru as the Kage and that pays off initial inciting rivalry/gag going all the way to part one.
So I think going with the smartest dude who has experience in politics makes sense and has helped out a lot in TBV. Even in NNG, Shikamaru is the reason why the village is still in it's place.
That’s fine. Shikamaru would obviously be a Kage candidate with Naruto gone and that was certainly built up within the Franchise and it would be a logical choice applying irl logic, but you could honestly make the case for Shikamaru being Kage over Naruto as well, despite his strength. Same goes for Tobirama over Hashirama, if we want to adhere strictly to irl logic.
From a writing standpoint, If I know I have a significant time skip coming up and I know what’s been set up before, I can see myself making Konohamaru the Hokage with Shikamaru as his adviser. I think that’s the better pay-off as opposed to the opposite we have now (Kage Shikamaru w/ Adviser Konohamaru).
And any inefficiencies Konohamaru had prior to the Time Skip can easily and sensibly be written off as motivation from Naruto’s supposed “death” and training during the timeskip. In a situation like this, you wouldn’t be writing the Hokage as a jobber anyways without some level of narrative protection for the position they hold. It’s honestly like wrestling booking…
Konohamaru has legit done nothing in the entirety of NNG to warrant the position of Hokage.
That doesn’t matter as much. In-universe we know he has a significant reputation and we know it has been narratively built in since part 1 Naruto.
I don’t believe you would literally say you do not see any reason for Konohamaru being Kage over Shikamaru from a creative standpoint… and hey, if you do then so be it. That’s fair but we’ll have to disagree.
If you wanna say he should have been written accordingly then that's a separate conversation.
That’s not necessary. There is more than enough built in to his character to have justified it from a creative standpoint.
Having him become Hokage over the timeskip off-screen would’ve been fine i’d think. 
Especially with my Student in her prime and likely stronger than me having had that same dream.
