You do want to get rid of the H2S formation; but, sometimes it's extremely difficult or too expensive/maintenance intensive. Then you have to design with allowances for it (ie coatings, special pumps/piping, etc.)
I've not seen any stainless corrosion in our lift stations so I don't have expertise on this; but, I have read articles concerning corrosion on stainless. I use to think stainless was stainless; but, that isn't the case at all. Various metallurgies work differently in different situations and I know not all lift stations are alike. Even with the same equipment installed.
Most of these articles have stated that if the pH of the wastewater is less than neutral, it can corrode 304 stainless. One possible solution would be to use 316L stainless or another alloy.
Someone else may have more input on this than I.