If that person made it through the probation period under your supervision, that’s still your fault. And if that person was there from the beginning, a senior in your team could still support them by teaching them good practices, showing them better options, etc. Or, as a last resort you could always assign them tasks that are more within their capabilities.

Micromanagement will never lead to people improving - quite the opposite in fact, they’ll start to care less because there’s always someone who prevents them doing mistakes.