IIRC, the tranny only holds about 2 quarts and are very strict about using their own honda fluid. I don't think Lucas would be a good idea in this case.
I know there are a few members with rebuilt trannys doing great. I know sonnex makes un updated part that pretty much fixes the problem if you do a rebuild..
Look up the drain/refil method for the tranny. they suggest you do it 3x.