It's interesting because my management philosophy when delegating work has been to always start by telling people what my intent is, so that they don't get too caught up in a specific approach. Many problems require out-of-the-box thinking. This is really about providing context. Context engineering is basically a management skill.
Without context, even the brightest people will not be able to fill in the gaps in your requirements. Context is not just nice-to-have, it's a necessity when dealing with both humans and machines.
I suspect that people who are good engineering managers will also be good at 'vibe coding'.