I asked the room steward to move the zip-ties to the sitting position. He said they were told not to touch them under any circumstances.
I asked Guest Services if I could have them moved to the sitting position. At first, he said "sure, let me make a phone call", which he did. I could hear the person on the other end of the line yelling at the GS person (felt sorry for him). He hung up and said "nobody is allowed to touch them - they have to stay exactly as they are" and ended the conversation right there.
I, too, would be hesitant to cut them off. Maybe the steward will ignore it, but maybe not (ours seemed quite concerned about it), and somebody on the Ovation (at least) was insistent that they stay in place for whatever reason. I don't know if they are inspected periodically or not as well, but since they are there for some undefined "safety" reason, they very well might be.
As I mentioned before, these are heavy-duty zip ties. They are much thicker and wider than the ones shown by SmokeyBandit.
I should have (but didn't think about it during the cruise) asked the captain about it at the "meet the captain" event. Maybe somebody can do that and report back?