I use mine daily for anything and everything. I wash it with Dawn. It continues to work as well as any cast iron I have ever seen.
Apparently the "don't use soap on it" advice stems from the era of harsher lye based soaps.
I have never been able to figure out stainless steel on the other hand. Apparently the trick is getting to the right temperature but I have never gotten it to work.
On the health side, Teflon pans used to be considered totally safe until they were not. Now they are considered safe again as they no longer use PFOA. Burnt oil and iron oxide might not be ideal either but at least it isn't novel to humans as it has been used for thousands of years. Unfortunately, difficult to get hard science on such subjects as it would have extremely large studies conducted over large periods of time to overcome the noise. In any case there are probably far more impactful decisions in life than which kind of pan to use.
Worst case-- you've gone too high in temperature for too long and you need some bon-ami.
Stainless is pretty easy to get totally clean with steel wool and/or scotchbrite pad sponges.
a cast iron or "stainless" steel pan will get some gruff from cooking since its nonstick. It regularly goes to the dishwasher, some stuff won't get cleaned. Mostly oil burn stains it seems ("stainless" hardly!) .
Is that completely safe/expected ?
We obviously diddn't get that with the nonstick pans. We got rid of that stuff for a reason, now i'm not sure what is worse: nonstick pan surface OR hard-stuck burnt oil on a stainless steel pan. Thoughts?