That is one of the frustrating thing about being on that page. I know that her family does not want to think about the worst, but at this point the fact that this may be a recovery mission rather than a rescue needs to be taken into account for an effective operation to take place. Even if it is painful, it should be a factor in how they run their operations, and the instructions they give to those that are helping them search drone footage. For example, the mother mentioned yesterday that Sam would not be completely bald anymore. This is an important fact if she is still alive. On the other hand, if she did pass away, it doesn't do any good to tell people not to look for a bald woman. Furthermore, looking for someone alive would involve looking for signal fires, footprints, etc., while searching for people who have passed away is generally more complex (e.g., she could be covered by the underbrush by now).
However, I do think that searching the mountain only makes the most sense. Based on all of the evidence, she reached the summit, but never came back down along the trail. No one has yet reported seeing her coming down, despite there being people on the trail. Without other evidence pointing elsewhere, I'm not sure that it's a good idea to spread out their resources over too vast of an area right now.
Your suggestion of searching lower areas is interesting though. I think they may even need to search higher areas just in case. I don't like to think this way, but I would imagine that predators may take a body higher into the mountain to get away from people. Additionally, if there were foul play involved, her attacker may have moved her higher rather than lower. This isn't the general pattern, but it has been known to occur, especially since she is such a small woman.