Question: Battery and guitars with magnetic and piezo pickups

Hi,
I’m thinking of Music Man John Petrucci Majesty (600-M5-50-00).
1. What if there is no battery – will it produce sound on output in any position? ie. HH as passive – position 4?
2. How long does it work on battery (piezo (6) or combined (5) position)?
3. Is battery used if upper switch in 4 position according to diagram?

Regards, Robert