Well TR tried for a third one and ended up messing things up even more for his party . . .
Not really. He let Taft run in 1908 rather than running himself, which is what he wanted, in his heart, to do. He had to be true to himself and run in 1912, but there wouldn't have been chaos in the party had he just run again in 1908 as he wanted to.
That's right, but is doesn't make the original statement untrue, does it? He DID trie for a 3rd term and thus lost the GOP the presidency after 4 consecutive wins. Though I agree that it might have been all avoided had he chosen to run in 1908.