I'm no engineer, but the load is probably shared. I would imagine that for most hangers the 7/64" Amsteel is not the weakest link in their hammock system. For example, a many of us use 1500# tree straps. With a 5x safety factor, you are looking at a 300# WLL for the straps, and that is not considering what hardware or knots might do to the rating.
So, if someone is considering going up to 1/8" Amsteel, they should probably go up to 2500# straps and a hammock rated for at least 375#.
Personally, I would feel fine with properly spliced 7/64" Amsteel up to 500#.
Inspect your gear regularly.
HYOH.
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