I think most boaters would be amazed at the numbers of traps lost each season, detached from their float warps. Each time we dive from the boat I spot at least one or two new ones laying on the bottom. The lines may have either been broken by storms or inadvertantly cut by passing props.
In most cases while diving, I will try to tie the broken rope leading off the trap, to the nearest float warp. The recovered trap may be pulled up by a different fisherman, but they all know each other and the ID tag will direct it to the rightful owner.
I've had to cut lines from my powerboats on a few occasions - not a fun job in heavy weather, or off season in cold water. Either way, it represents lost gear and income to some hard-working fisherman. In all cases, if I have to cut lines from my running gear, I retie the line ends together.
Sure, I'm ticked off by some of the locations they choose to drop their gear. My current boat does offer more time to react - but rather than go over the mostly smallish, white bleach bottle floats (near impossible to see with white caps), I maintain a sharp lookout to steer around them.
Steve