Certainly doesn't add up - particularly if the SG on all 12 cells was showing close to the same value and all were into the green section.
If you didn't check ALL cells then it is possible you have a crook cell in just one
battery.
You could disconnect both batteries (just the positives) from each other and with everything switched off, first check the
battery voltage and then use the mains charger to charge each
battery separately, monitoring the
battery voltage every hour or two to make sure it is coming up steadily. If you have a three-stage charger, the voltage should gradually rise to about 14.4V, hold steady for an hour or two (or up to 4 hours depending on the settings) and then drop back to around 13.7V which is the long term float voltage. If you leave it on float overnight and then disconnect the charger and leave it for say 4 hours, it should read around 12.7V (.1 more or less depending on
battery) if the
battery is close to fully charged.
If you then put a 5 amp load on it (headlight bulb) the voltage should immediately drop to say 12.5V and then over the next 10 hours, it should gradually drop to ?? - maybe 11V, bit less - at which stage the
battery should be roughly half discharged. If you remove the load and let the
battery rest for an hour the voltage will rise to ??? - about 12V (I haven't got the resting voltage vs state of charge figures at hand) which corresponds to a
battery about half full, which is a good point to stop taking charge from the
battery before recharging. (if you are on a weekend away and can make sure you charge the
battery asap when you get home, then it is "OK" to go down further BUT anything below 11V at the loads you say you are drawing means the
battery is well and truly flat and if the
battery police catch you they will charge you with batterycide. At 10.4V at 2A load, you should be tarred and feathered already but for a first offence (admitted) you get another chance.
Yes, you will need a cheap DIGITAL multimeter to do these tests but it will be a few pounds well invested because although cell electrolyte SG is a good measure of state of charge (provided it is corrected for electrolyte temperature, is a quality instrument and read carefully etc etc), it is pretty useless for working out what is actually going on.
Battery voltage under charge and load and no load will tell you a lot once you have figured out the sequence.
Repeat the tests with the other
battery and compare the results. (best if you do the measurements at the same elapsed time, but not essential) Can even draw a voltage-time graph to show the results in a format that makes it easy to see any anomalies.
Let us know what the results are because it adds to all our personal knowledge-bases as well as yours.
BTW - if you have a converter or fixed output voltage charger the sequence of events during charge will be different and it will take much longer to get to full charge, but the discharge part will be the same.
I know this all sound pretty tedious and it is but I figure it is a learning experience. An expert, armed with just a multimeter, could work it out in a few minutes just by switching the charger on, noting how the voltage rises, switching it off and then applying a load for a few minutes. Regardless of expertise, having two batteries in parallel can mask the problem which is why it makes it much simpler to look at them individually
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It will turn out to be something very basic, but since you reported the SGs correct, that puts an extra spin on the situation. A careful remeasuring of all SGs may point to what is wrong
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Your phantom drain of 0.2 Amps might be the
battery charger itself, but you could check that by physically disconnecting the charger. Some chargers drag up to half an amp even when switched off and they can flatten a
battery in a week, but your 0.2A over three days wouldn't come close to explaining your situation.