No the price was actually the same. The SW agent did say it was a special rate, but it was the same rate I saw online. And I forgot to ask about boarding because without online check-in we may not be seated together and I'm traveling with five kids under 7.
The one benefit of booking through groups is delayed payment. My reservation is on hold for 30 days, I need to make a 10 percent deposit by August 22 with the balance due July 14th.