You are arguing against a very well known phenomenon. Technical people often avoid getting promoted to management precisely because they love doing the thing themselves. Despite the higher potential for impact in a management position, losing the detailed view of a practitioner is a real loss. This phenomenon is less obvious in big tech because there are so many people who really wanted to be managers the whole time, but had to be engineers first or never really cared about the work, but want a promotion for the better pay.