The bigger question should be what happens when a "free" broker or flat rate broker gets and order to buy 1000 contract fly in the SPX? That's about $2000 in exchange fees and a bunch more if they used a floor broker. This is part of drove OptionHouse out of the flat rate business. Their prices had to be so aggressive that what they lost on brokerage they couldn't recoup in MM. They probably became the biggest firm in the SPX. They more they traded the more they lost. The industry began referring to it as the Amtrak model.
Robinhood won't touch these customers, but on a smaller scale this still is a problem. Most e-commerce firms have some customers trading for free - but the fine print limits the share of trading in some symbols.
SPX is probably unique because it has to cross on the CBOE and so there might not be a lot of opportunity on exchange fees, etc.
A firm like Robinhood may have to eat those losses as a cost of doing business.