I've only recently learnt that olive oil and avocado oil are actually fruit oils rather than seed oils. This could account for the different type of fat. Somebody also classed coconut oil as a fruit oil, although wouldn't that be more classed as a nut?

It's probably tough to know whether changing from the highly refined oils makes a difference. Usually when someone is having chronic health problems they make a complete switch from standard junk food diets to a wholefood diet, so multiple factors end up changing and they notice improvements quite quickly. I suspect that unless you're particularly sensitive to certain oils even adding them back in to see if you notice a change might take a while for it to build up.

I haven't used refined oils myself for a long time. Olive oil for cold and low temperatures and coconut oil for higher temperatures are my go to. I always hated trying to clean things after cooking with the refined oils because they end up like glue. I was a little concerned about the saturated fat with coconut oil, but my doctor was happy with my blood tests. His conclusion was that my cholesterol was a bit elevated, but it was mostly good cholesterol.