Yes, it's charge imbalance I'm thinking about. When (ordinary) storage batteries are fully charged there's less than 500mA passing.
I'd figure that a (one-sided) current of 50-100mA would be the max to not upset the balance. (Well, it all depends on the charging conditions I guess.)
If you tap too close to the trickle charge current then one battery will never get full and the other will get overcharged, losing water and active material.
Of course LA batteries are quite robust and can take abuse for years, but eventually they could be too damaged, getting years taken off their life.
If one could have a bank switch so one could tap one side one day and the other side the other day then the batteries would be a lot happier.
Also, with a 24V wind turbine there should be a 28V shunt regulator. In this case that could consist of two 14V regulators across each battery. That would help too.
With heavier drain there's no option but to use a 24-12V converter. Today's switchmode units are cheap, efficient, & powerful - compared to what they used to be.