The proof is in the numbers. Brand X's shroud line attachment failed at 1.0 lbs. The shroud line ripped through the plastic parachute and the reinforcement tape ring.
Mercury's U-Ty shroud line attachment actually did not fail at all, but the shroud line did break at 5.5 lbs. The U-Ty attachment scheme is over 5X stronger than the typical model rocket tape ring/plastic parachute scheme and, for this test, stronger than the shroud line material.