As you mention, DC operators are already highly incentivized to reduce energy costs, so as wind and solar power continue to drop in costs DC operators will want to fund or buy green power as often as possible.
Getting backup power to be carbon neutral will be a little more challenging in a DC, but it's a walk in the park compared to many sectors. Shelf-stable biofuel is already fairly accessible and using grid scale batteries can reduce the need to combust anything (plus open power arbitrage opportunities).