Decarbonization, per se, does nothing directly to "cure the pain" of blackouts -- rolling or otherwise. If anything, it's the opposite. Shortcuts undertaken in the name of decarbonization have ended up reducing resilience of the grid. Blackouts are becoming more frequent and longer lasting.
It doesn't have to be that way, however. There are approaches to "building back better" that can advance both decarbonization and resilience. It's too big a topic to get into here, but smart micro-grids and intelligent deployment of energy storage are certainly involved.