No.
You need to understand that MM's do not have unlimited money. Therefore they cannot just quote the "right" price over and over when they get hit. Once they are out of margin, what are they gonna do?
As a MM you want do put your quotes where there is two sided flow. This basically means you want to buy and sell as often as possible, but you want your position to be as close to zero as possible.
So when your quote only attracts buyers and no sellers, you are quoting too low. Therefore you increase your offers and your bid until you get hit on both sides.
I think I get it, if the market is covering the Stock, it would buy up the Options to the Point where the prices reflect the expected move. The Volatility Frown comes into existence. On the way to a balance between buyers and sellers/when there is an overhang of buyers, do market makers have to fill the price they quote at any given point in time? Or can they decide/delay the point at which they give buyers a fill/can they wait untill the have roughly the same ammount of buyers and sellers (not considering spreads in this scenario)?