Just to touch on my own post (above) in this oldish thread. It actually
did say in the books that Gollum 'still avoided the touch of their cloaks', which I had not remembered. I guess PJ didn't bother with it because he wanted to simplify the plot, him not likeing the lembas barely made it to the EE. Or maybe Peter didn't mind because he'd forgotten about that part in the books, in which case it would give me a reason to justify myself
.