YES! The tethers included with your SwiftPaws are designed to break-away under stress. By using them to anchor the machine and pulleys you help protect your pet and the equipment.
Staking the pulleys or drive directly is NOT recommended. Tethers allow the flexibility necessary for safe operation. For example, if the line is pulled for any reason, such as the dog catching the flag, or tripping over the line - it keeps the proper tension to avoid unnecessary stalls or delays while at the same time, allowing the sensors to detect too much tension so that the safety stall will initiate when necessary.
If the break-away tethers are too sensitive - you can opt to purchase other types, or simply use a loop of line that comes with your SwiftPaws. (see image)