As always, something broken. When copying the settings to another photo with white balance set to one of the profiles (example daylight). White balance does not change in the photo to which we copy the settings. It writes daylight, but the values haven't changed.
Normally the only time White Balance doesn't sync as expected is when it's set to As Shot. So I've tested how you described and I see it what you're seeing with Daylight. Just checked and they're aware of it.