You're assuming that the donor with the LH will stay at the maximum distance from the receiver. He doesn't have to. The LH gives you choices. I don't see how having a LH is a waste of time. In fact, if properly trained the LH can be deployed toward an OOA diver faster than fumbling for an octo that's clipped somewhere with some kind of fastener.
You missed the point.
I said that if you need to remain in close proximity to keep control of a diver, then LH is a waste If you let them float away on the end of a LH then you have zero control
Most rec divers aren't that proficient nor predictable even if nothings going wrong. Unless you can maintain contact and control anything can happen