But also, the taste. Heinz ketchup is a universe away from, say, a Vietnamese fish sauce. (Worcestershire is another sauce in the same vein.) Americans are much more liberal with sweet, thick ketchup than with anything fermented and sour.
Surely there ought to be vegemite/marmite and seaweed ketchup out there..?
What you won’t find is walnut ketchup
> Water, Salt, Spirit Vinegar, Hydrolysed Vegetable Protein [Water, Hydrolysed Vegetable Protein, Salt], Mushroom Powder (3%) [Concentrated Mushroom Juice, Maltodextrin], Barley Malt Extract, Spices
The English bring their recipes to the United States, and their descendants make mushroom ketchups, but also walnut ketchups, oyster ketchups, and all sorts of things. As late as 1913 Webster defines ketchup listing mushroom first, then tomato, then walnut.
Tomato ketchup becomes dominant in the early 20th century through the events described in this article, which not only destroyed most of Heinz’s tomato competition but all the other ketchups too.
There are also other, more modern ketchups. A personal favorite is Filipino banana ketchup, which was developed when that country was cut off from tomatoes during WWII.