I already answered the question. The engineer told me the batteries needed periodic equalizing.
In a series setup, what can happen is one battery can be charged to 12.3v and the other 12.1, then the next time charging at 24.4v they will charge at the prior ratio of not 50/50 and over 20 charge cycles; the one battery starts to get overcharged…
I do not like to be a contrarian but hooking 12 volt two batteries in series creating a 24 volt max ouput and pulling power from between them is not an issue.
Toyota did it in their Landcruisers back in the 70's, ie hooked up 12v lighting and internal vehicle circuits. We were installing 12 volt winches into these vehicles and contacted Toyota Tech directly and they said that is fine. (a winch could draw up to 300 or more amps at full load)
A qualification: There are 6 2.1 volt cells connected in series in a 12 volt battery creating a chemically and electrically balanced equation at 12.6 volts.
Series
2 12 volt battery in series and one is drawn down to 11 volts. When a 24 volt draw is created by closing any circuit involving both batteries, the 12 volt charged battery will attempt to
charge the 11 volt battery. An issue is that with the closed circuit the 12 volt battery will pump a lot of amps into the 11 volt battery and can create heat.
Any 24 volt charger will have a specific charge voltage so I do not understand why one batter should "start to get overcharged" The new smart charger do run a higher voltage on the charge
cycle when bringing up a battery from a discharge but will drop this voltage as it nears the 12.6 fully charged value.
Parallel
As the ground and positive is common to each other, two batteries are always in a closed circuit state and will always equalize. "always" assuming that the batteries can hold a full charge.
The problem is if one battery is heavily sulfated, ie unable to charge, then the higher voltage battery will continue to supply amps to the lower charged battery and this will create heat.
Now I'm left wondering if the individual cells inside each battery also need periodic equalizing.
The 6 cells in a 12 volt battery will equalize when ever a circuit is closed.