The mere fact of a converter failure doesn't harm batteries, but we have no idea what abuse the batteries may have received while the converter was out of whack. At the very least, the batteries were probably severely discharged a couple of times and that can have harmful long term effect.
In any case, change both batteries so you have a fresh start with know quality.
BTW, a fully charge 6v battery should read 6.6v, so the other one may be in poor condition as well if it reads just 6.0v.
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Gary Brinck
Former owner of 2004 American Tradition and several other RVs
Home is West Palm Beach, FL
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