It sometimes happens when you're playing a song with D# or Bb key which contains a lot of barre chords.You don't have a capo but you want to change chords as fast as you did in C key we often practiced a lot, the C shaped helps you to find the key of song quickly and you can find all the other chords quickly as well.
In my opinion, I don't think C shaped is common used in JAZZ since the chords in Jazz sometimes will be more colorful such as maj7,maj9. Besides, we often play partial parts of those chords to make pure harmonic.
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