This quote is unclear to me?
The best pan for eggs is seasoned carbon steel (debuyer is my favorite brand). this is the ultimate non-stick pan. The professional chef's that i follow, don't ever cook with teflon coated pans. Those are uniquely reserved for people that own Cutco.
Every time I see someone on TV pulling out a non-stick anything, I just roll my eyes. May I get another helping of PTFE with my organice free-rance expensive what everplease. Non-stick anything is marketing crap. I bet most people that use non-stick also love crock pots, or should I say, pots of crock.
For over-easy eggs--warm dry pan on medium heat for two or three minutes, add a pat of real butter (no margarine) alternatively a dollop of duck fat is also nice, or maybe both. bacon dripping are too overpowering for a simple fried egg. The pan should be warm enough so that the egg moves a little but should not bubble hard as to create a crust (denatured protein). Once all the albumen has solidified around the yoke, give a light flip, cook for 10 seconds, remove from pan and serve on a warm plate.
For sunnyside, same procedure but don't flip.