The path of least resistance is not the battery, but the thick copper cable. In any case this is irrelevant, the charge is voltage and chemistry/configuration controlled. In other words a larger battery will have lower internal resistance and take more charge than a smaller or weaker battery and as long as the voltage regulator limits the output at 14.4V, both batteries will end up charged indentically.
If it didn't work that way the alternator would not be bale to charge both batteries, however, it is completely another story when starting because at that time they are connected in series and the poorer battery will limit what you can do.
In other words, if one battery goes bad o the HDJ81, replace both and keep the other good one as a spare for emergency use and if you want to charge both batteries, simply connect your cables to one of them and make sure to unplug the charger prior to starting.
Of course, with large batteries, a 10 amp charge won't do much as this is more like a trickle charge or float charge

Use a decent charger with a 20A charging setting and run for 5 to 10 hours, just make sure the batteries don't get hot, check the electrolyte density and stop when all cells have reached the same density, adding deionized water as needed.
If you are patient enough and keep watering the cells that have charged first to replenish electrolysed water while the poor cells desulphate slowly, over many days you can equalize cells of poorly balanced batteries.