No, this isn’t a cast iron thing. Using stainless pans, you can get nonstick effects that, in my experience, far outperform Teflon anyway. The process is called “spot seasoning.” I have cooked crispy, cheesy rice noodles with eggs with zero sticking.
I love my cast iron pans, but stainless is my daily go-to. Added bonus: use 100% copper wool to clean your stainless pan. The copper-coated wool at most grocery stores is problematic; you might get a few uses out of the coated garbage and then it starts shedding metal bits.
I have that same wok. You need a lot more oil for a flat bottom wok than a round bottom because the flat bottom doesn’t let the oil pool to the middle.
You absolutely can get nonstick eggs with a stainless steel frying pan and a small amount of oil but you need to actually practice heat control and cooking technique. It’s actually much easier with butter because the water in it will begin to fizz and you just need to wait for the fizzing to stop and the pan will be just about hot enough.
You still need to use the right heat setting which is specific to your stove and pan, so practice is needed but you can get a good feel for it by how quickly the butter melts. If it melts rapidly and gives off a lot of steam and begins browning then the pan is too hot (unless you want to do a crispy egg, but that should be done with oil instead of butter which has milk solids that burn and turn bitter).