When Rean apologized, he apologized to all the Salamanders in the surroundings, making it look like he was apologizing to the 'specific one' he talked to. The Salamanders no doubt cursed Rean about the Spiritual Sense Message. If Rean hadn't made that apology straight away, they would all have asked for his head already.
However... the conflict of their bloodlines and fire nature still existed. The result of having it fixed was shown in front of their whole meeting of important Salamanders. Ambrisio and Gwart were living proof that Rean's abilities were real. They still wanted to have it fixed, and if Rean wasn't lying, this might be a permanent solution. Even if it is not, Rean did mention this fix should last at least a few decades. Only time could tell which of the outcomes would happen.
