I don't think that the Recreance was caused by the Radiants making a conscious, logical decision to stop betray their ideals. Rather, the revelation that humans were originally the bad guys and had used their powers to destroy a different world, combined with Honour saying they would do it again (and perhaps whatever happened in Natanatan) caused them to lose conviction in the Ideals and thus act contrary to them. As we know from Kaladin in WoR this is enough to kill their spren. Also when Syl offered to leave Kaladin he had only sworn the first Ideal which I suspect is before the point of no return.