No, it wont, but their profit might take a hit. Apple base the price on how much are willing to pay, not how much it cost to produce. If people stops being willing to pay, Apple must either reduce the price or come up with something new people are willing to pay for. Of course the cost must be covered, but Apple already have a very high profitmargin. Apple is the only company I know, who doesn't reduce the price to improve sale or clear inventory.
I also don't see a redesigned iMac in near future. My best guess is, that next iMac will have edge to edge display. But sure it will not have a notch for face-id.