Post-solution reviews are important to discuss what was learnt. Consultative B to A - the manager initiates the problem, raises it with the client and then, as a coach, helps the client generate their own solution. There is still a need for feedback on progress. Supervisory control is minimal. The manager may offer information and alternative perspectives - without pressing them.
Coaches can wear two possibly incompatible hats.
I have to maintain standards and get tasks done - within a policy remit. Deadlines have to be met.