Question

When should one use i.e. vs e.g?

Answer 1

Use "e.g." before giving one or more examples. Think of what precedes "e.g." as a category, and what follows it as something (or a few things) that would fall into that category

Use "i.e." to paraphrase. Make a statement, then add "i.e." to explain or describe what you just said in a different way

I could be wrong, but I believe that this is the correct way to use them.