Echoing Olivier’s and Gina’s comment. The spring underneath the L button is under tension and will shoot across the room if you are unlucky. (The same danger exists when disassembling the right control stick). I’d suggest adding a step for mitigating this — either proactively removing the L button and spring at this stage, or else taping it down or otherwise securing it.
Missing from the recommended tools list — jeweler’s glasses! These components are TINY and it was nearly impossible to see what I was poking and pulling at.