The problem is, L-V IS more known in AH than reality, and with godo reasons. He has much AH potential, but IOTL he didnte xactly archieve much. So, well, nothing would change.
On the contrary. What he did in the East Africa campaigns was incredible. Most German colonies fell rapidly, and none lasted past 1916. But Lettow-Vorbeck was never defeated in battle, ended the war conducting offensive operations on British soil, and was in a position to continue the war. He also had the potential to radically reshape the post-war world. I agree, however, that much of that potential was never realized. But that is what makes him so fascinating a figure.
I realize that on Ah.com, LV running a right-wing weimar state is a bit of a cliche. But it is at least possible. Remember, he was the only German general granted a parade through the Brandenburg Gate; he was popular as a successful war hero, if not to the extent of Luddendorf and Hindenburg. At the end of world War two, Churchill mentioned his name as a possible leader of a post-war german state. He did have the potential for greatness, but is unfortunatly forgotten. Part of me wonders what might have happened had he been deployed to some other theatre, either colonial (say, the camaroons; he did request colonial service specifically); as an attache to an ally, or in one of the main battlegrounds such as the eastern front.