That's not even what happened.
The person who was logged onto the mage at triples logged off that mage and onto a mage at doubles because we thought we might want to kite in doubles rather than triples. The single toon that was coth'd to doubles had already been coth'd to triples, so they gated and got the coth to doubles (there was no "mana" advantage gained). Then the other raid force started killing the triples wurms so we changed it up again and decided to just kite in triples - so the mage that had been coth'd to doubles started a train out from doubles so that we could move our raid up from triples for the engage.