Plugging in the ac power adapter also disconnects the batteries,
be careful with that : it says in the manual that using the AC power supply whilst batteries are installed, will charge the batteries (though it makes no mention of using rechargeable batteries in the device), and that if batteries are already fully charged (or presumably not rechargeable) it could result in the batteries rupturing / leaking, and damage to the unit.
I'd go for either / or, and I'm currently looking at fabricating a version of the original PSU connector, using 3 metal prongs, some Sugru, and a pair of flying leads to 2 discrete 9V outputs from my pedal board power supply.