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Honestly it wouldn’t be the worst thing in the world. Try ketchup and pb and it would actually taste good, since it really is a jam. (Jelly if you wanna call that texture jelly instead.)
And jam on toast goes well with coffee and tea. So popping some straight in would be a nice sweetener.
I would definitely try this if I were mentally unstable.
Too bad a key ingredient in ketchup is vinegar, otherwise your point would make sense (same for Sriracha, which is what my mentality unstable self would add).
I imagine the salt in it also isn’t a great add, and the tomato is neutral at best. There is sugar, so at least there’s that.
The opaqueness makes me want to call it a butter, like apple or plum butter, but it’s closer to a smooth chutney I think.
Now I’m curious about making a tomato jam.
Edit: It’s a thing: https://www.thekitchn.com/how-to-make-tomato-jam-247279