I don't know if the no tripod rule was in force 18 months ago when I went there, but they didn't stop me nor several others from using them . Maybe it's something more recently brought in, or maybe they were being charitable that day. It wasn't crowded by any means. In fact at the lift entrance I had to ask if it was the right place as there was no queue and it just seemed odd. If they had stopped me then there were places to rest a camera easily for night shots. If I ever went again I'd be inclined to try using a monopod and see how they react to that, or one of those small tabletop tripods that can stand on the wall easily.
In contrast, the Empire State took tripods off you and stored them before ascending. There was a lengthy queue too just after opening time, but it moved reasonably quickly.
I did Empire in the morning and worked my way up to the TOTR by late afternoon to take daylight shots, staying through sunset to darkness and giving me some nice shots of the Empire.