Two reason you may want the coaches input:
One, they'll feel like they have a say in the process. Real, or imagined, that can't be a bad thing.
Two, they might provide some good insight. They see things from a different angle, and don't look for shiny stuff and snappy rotations. If you have someone smart looking at their evaluations, and taking them for what they're worth, then you can glean some valuable information from them. If you have some dolt, who just dismisses everything a coach says as drivel, then you might as well forget about it.
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