UCL asked for my predicted AP scores (and we provided them later on) however LSE never did and I am 8 weeks into the 8 week email. I am sure they would have contacted me within the first two weeks asking for me predicted scores if they needed them. I may just be rejected but I don't think your predictions are THAT important if you are from the U.S. because they will just give you a conditional offer and expect you to fulfill the terms of the offer.
Or maybe they will just reject me because my counselor did not provide them initially in the reference. But my counselor was also very wary about predictions as were my teachers. we don't do predictions here.