Thank you, you have assessed the situation totally correctly, the only point I would add is that as time goes on the batteries are continuing to deteriorate quickly. 3 months ago I could get close to the alleged 3Kw to 50% DOD out of them. Now it is closer 0.5Kw to 50%. Another thing I have noticed now is that on a perfectly sunny day or on an overcast day the inverters don't trip at all, BUT with intermittent fast moving clouds they can get very annoying tripping 20 times in a day. Now this didn't happen at all until they were over a month old, charging currents/voltages are set up as they are supposed to be but who knows with car starter batteries!
I will be ordering the correct batteries ( Trojan T105RE) on Tuesday, in the mean time I am trying another "fix"; Just purchased a 5 Cu Ft freezer, calcs show me that this freezer will pull about 200 watts but only for 4 to 5 hours in a 24 hour period. As a chest freezer will hold food frozen for at least a day when disconnected I shall put it on a time clock so that all power is pulled during good daylight hours.
This might help, I needed a freezer anyway.