...
We will have two line cutters at two points on the reefing line for redundancy and the wires to each cutter will be attached to the reefing line to hopefully prevent them from getting wrapped around as much. If a line cutter demonstration shows that they eject hot gas/flame on activation that would potentially damage the parachute material, we will make small covering bags for each line cutter to prevent the hot gases/flames from touching the parachute material.
The Parachute Systems Design Manual indicates that the tension force on the reefing line is a very small fraction of the shock force (maximum 4%), we will use 4% of the shock force when sizing reefing lines.