THEY DO ALLOW PETS AT ALL OF THE LOEWS HOTELS!! last year we stayed at the HRH Club level, and there was a lady who had a dog with her, i saw this dog LATE one night in the concierge loung ( which doesnt bother me because my dogs sleep with hubby andfd i ) but i never thought about ppl with sever dander allergys!! they do have pet only rooms, but guest can pay the concierge staff to walk thier dogs. they have a dog run, but i didnt ever see it. if you are staying on the club level, then i would call ahead of time and let them know your situation.
if you have anyother questions, feel free to ask. I have reserched this myself because DH and I are taking our " kids" with us next year for christmas.