It wasn't the JSA title at the time. And I thought the first team-ups happened in Comic Cavalcade?
Also, "Greco-Roman Mythology"... let's not credit Marston with much. The only thing he knew about Amazons was the sidenote they get in Hercules' Twelve Labors. Of which he read an abridged version at best.
But as for the original question... I don't know. That's how you know the love is real, right?