It’s really the lemon rind that picks this up and makes it special. I ask that you add the egg and lemon rind last so that you don’t wind up with a mass of grey mess with some green specks in it. You want to see what it is you are eating.
You can of course add more olive oil if you like and also add a bit of garlic if you are using it for meats. Just be sure to grate it very finely before you add it.