hm... and why are the drones carrying the whole spool of the fiber instead of leaving the spool on the ground and unraveling it from there without the extra weight on the drone?
If you unwind the spool hanging under the drone by a rotating shaft through the spool, you do not have any tension on the fiber (but for a few grams of its weight if you unspool to slowly) and the weight of the fiber in the air even helps unspool the fiber (although you want to prevent that by speeding up the unwinding)