It will still be bringing them down lower than they were before. I am personally fine with choosing to lower Basilisk, as suggested, but what happens if no one raises them? If all the other teams raising people at the bottom pick one of the other two? Our vote would be "wasted" in that circumstance, given that they will not move anywhere at all.

At any rate... I understand your reasoning better now. But. If we are making a true compromise, then the conditions for next turn will be defined by the parties that want to protect Cerberus. If we show restraint now and choose someone else, next round, you will choose Cerberus as long as those parties still wish to do so. Regardless of the position of Cerberus at the time.