Great list OP.
I've read several biographies on Lincoln, and more importantly looked at his record, and it's mind boggling that he's held as such a one-dimensional 'hero' figure. I think if he hadn't been assassinated he would be viewed quite differently.
He is hands-down the worst of them all when it came to taking us from a Republic of strong states to a more centralized supreme government system. The fact that he let that Nazi Sherman wage total war on US civilians (quite literally murdering unarmed women and children, old people, everything) on the march to the sea is an unforgivable sin. It would be like today if we had another civil war, a leader authorizing the army to march from Columbus to New York, executing everyone at will, burning hospitals, etc.
There are some POTUS that I actually quite like such as Eisenhower, Kennedy, and Teddy Roosevelt on your list, but they are imperfect as you note. In my opinion they are more valuable for the things they did right than the damage they did with their mistakes. Ike's farewell address, instead of a friendly puff piece, was a dire warning against things that I'm sure he had already come to regret about the CIA's growing power along with the political gamesmanship that profited from increasing cold war tensions and perpetrating new armed conflicts around the world.
I actually think Reagan was an okay POTUS, but he actually did very little. That whole administration was rotten to the core due to GHWB and his CIA goons running the show. At the Republican National Convention during the run-up to the election for 1980, Reagan shocked everyone by naming GHWB his running mate late at night. The two men hated each other, But somehow a shaken and tired looking Reagan indeed trotted out on stage to announce that. And from there, we got Iran-Contra, all kinds of South American bullshit, more involvement with the precursors to AQ, etc. All basically hallmarks of mr spook himself. GHWB has to rank in the very top of horrible Presidents, and his rule was 1980 to 1992. Ironically, his son was played very much the same way for Cheney's rule from 2000 to 2008, controlled by the very same interests, and hallmarked by the same horrible kinds of actions.