You don't need vegetable oils, you need lipids in general. I'll agree with you that making that source of lipids be vegetable oil is overall healthier than animal fat, though.

But I never said I never ingested oils - I said I was precisely monitoring calories, which in turn could mean deciding not to use oil when eating eggs. I could choose to ingest fats in more tasty or practical ways. Weight gain or loss is a matter of building a caloric deficit or surplus. If you're going to do that by reducing carbohydrates that's your choice, go for for it, but do keep in mind some people need to carefully monitor fat intake even if you do not consider weight objectives at all.

I'm just explaining that a pan that forces you to use oil to not stick can't be honestly called "non-stick" because actual non-stick materials won't require the oil. Otherwise, every pan is non-stick so long as you use enough oil. Don't get me wrong: Teflon is poison, it's bad, we should look for alternatives. But using a lot of oil everywhere to prevent sticking on cast iron means cast iron is not a viable solution to the same degree that teflon was.

That's just an abuse of olive oil. Olive oil is a finishing oil when you want the flavor. Use a neutral oil like avocado.