Even if President Wilson doesn't die of it, the strain from a much worse Spanish Flu during his Presidency could make his stroke a fatal one, too.
There aren't as many well known Asian notables on that list. Could it somehow spread to the East as rapidly as it did to the West? Say a group of Americans happens to go over there from California not knowing they have it. I'm not sure what the period was for it but it was long enough that troops were able to carry it to Europe. Having it spread more rapidly in China, which has entered the warlord phase IIRC, could increase the numbers dramatically right there.
(Wikipedia says ojne theory is it came from China and mutated in the U.S. - I don't know enough about these thigns to know if that means they'd be more resistant in China or not. I'd think not since it had mutated but I don't know. Perhaps it depends on how much it mutated.)