The only thing FI can do that a carb can't is to be able to make changes rapidly.
I have a running bet with people around here that I can take a factory fuel injection off of a modern car, put a carb on it and get better mileage. No one will take me up on it, but they say I'm crazy.

( factory FI keeps the A/F ratio at 14.4 , i can tune a carb near 15.5 for mileage.)

If you understand how a carb works you can tune any stumble out of it.