Points 1 and 4 contradict themselves. So triclosan is no better than regular soap at killing bacteria. But the point 4 implies its killing too much bacteria and contributing to allergies.
No; point 1 is about effectiveness measured in health outcomes, such as reduced infection rates, not just number of bacteria killed. The article specifies that triclosan soaps do kill more bacteria than regular soaps, but that this doesn't make them more effective at reducing infection rates.