When you say EFI, the key word is Electronic. Most electronic repairs consist of diagnose-remove-throw away-replace. There is very little 'working on' solid state electronic systems.
There is very little benefit for the user to be derived from EFI in a 50 to 100 hour/year residential lawnmower. The EPA thinks it's saving the world from carbon poisoning. Engine manufacturers can sell the engines for more because it's 'modern.' The repair shops have to invest in diagnostic equipment. The owner saves MAYBE a buck or two per season in fuel.
EFI requires a computer, sensors, injectors, wiring and plumbing. Carburetor needs none of that. I prefer the carburetor because it's simpler, has a long record of reliability and I can work on it.