The current drain is miniscule.
I am using a new std alkaline 9 volt, I measured it at 9.4 volts in circuit. ( volt batteries are used for low noise current sources in some analgue electronics.)
I have heard batteries used for a DAC PS and I did not like it. Sounded tired and dirty, but a DAC draws a lot of current.
I could hook up another PS but its a practical PITA.
It is what it is.
Ian