While the vote for the next King or Queen had been taking place, Paul had decided that he needed to be best prepared for whatever was to happen next. At that point, there had still been no news about what was going to happen to Quinn, and with Leo's group still missing, he could see that the situation would possibly turn for the worst.
Because of this, Paul wanted to make sure that the people were safe first. Logan had claimed that it might be possible for him to create a teleporter back to the Cursed faction ship. He had noted down the coordinates many times, and the Vampire settlement, including the equipment in the tenth family's lab, had plenty of equipment for him to do so.
Paul had agreed to the creation of the teleporters for two reasons. One of them being the fact that it would allow them to call for reinforcements if needed. However, that was more on the theoretical side. Ultimately how many people would heed his call for help without Quinn?