Divinity Original Sin (Did not have origin stories): 14,480 votes. Summary: Very Positive
Divinity Original Sin 2 (Had origin stories): 94,503 votes. Summary: Overwhelmingly Positive
The trend seems to indicate people like origin stories just fine. As for the alt start suggestion (basically Dragon Age Origins), I like it, but they have a budget friendly intro scenario that works for almost any origin story. Imagine the future when modders add new classes, races, etc.. to the game (like right now you can download barbarian and sorceror classes). That is mostly possible because of the streamlined scenario they have. If every new class/race, etc... needed its own starting chapter, that would greatly limit the ability to realistically expand the content with mods. Sorry, but I prefer a mod-friendly game over one with unique origin stories.
The Witcher 3.
410,042 votes. Summary: Overwhelmingly Positive.
And that only has ONE origin character to choose from!