I don't know...giving him a promotion by this point would seem wrong.
And... why exactly? It was a testament to the incompetence of Voyager's showrunners that he wasn't promoted by the time Seven showed up, or during the interim before "Night" at the very latest. Said showrunners were having Janeway and Chakotay and others yak yak yakking about how he's one of the bright spots on the mission, and that he's one of their best people, but at the same time giving him the career path of a hopeless misfit... I don't know whether they were that dumb, they thought we were that dumb, orcthey just wanted to piss us off. Regardless, why in the Vaults of Eternal Destitution should the current powers that be continue their mistake?
I don't think Harry's Captain material. But I do want to see him as a Lieutenant.
Interestingly, while other characters' non-canon fates have varied wildly based on who wrote them, Harry's been pretty consistent. Ironically, the only person of note who suggested a different life path for him was Garrett Wang himself.