That's why you pre-heat them in the oven. This freaks people out who've never done it. Whaa ... you're sticking a pan in an oven thats turned on? Because if you do that to a cheap stamped steel and plastic pan, the plastic handle will melt off. There's a reason CI pans have expensively attached solid cast iron handles and not bolted on plastic handles...
You seasoned the pan by heating it to 400F in an oven till it stopped smoking... by definition putting it back in a 400F oven isn't going to hurt it... Also you can't accidentally overheat to 1200F and burn the seasoning off in a 400F oven, unlike preheating on a stove top. The stove top is used to hold to a constant temp not heat it up.
Leave the oven at 400F while you're cooking on the stove top... finish cooking, wipe/scrub the pan, apply a very light coat of oil, toss back in the 400F oven, turn the oven off, by the time the oven finally cools off you just massively strengthened the seasoning layer. Depending how fast your oven cools off I guess.
WRT SS there is no free lunch, you spend about as much time re-seasoning cast iron as you do scrubbing stainless steel with barkeepers friend powder.
If I'm generating a sauce, like say making fried Italian sausages with grapes and a nice white wine sauce, its stainless all the way, but I don't generate sauce when I'm making plain breakfast sausage, for example.