Instrument names (players) in parts

When ‘Edit Names’ in Setup/Players the names changes in the Full Score, but not in the Parts. Shouldn’t that follow automatically instead of forcing you to double click each Players’ name in Setup and change it manually a second time?

The benefit to the current system is that, with a doubling/tripling part, it’s very easy to change “Flute & Clarinet in Bb & Alto Saxophone” to “Reeds 1”.