This is just my opinion but I believe that's only partially true. For every action there's an equal and opposite reaction. When the stringer pulls tension tension is built up in the string and it pulls back. Then the string starts relaxing and the difference between the two stringers begin. Some people like the softness of the LO while others don't notice it. Some only like the strings after they loosen up a bit. I think a CP string job holds it tension better because a constant was placed on the string for a longer period.
I agree, but i also think that the time it takes the stringer to clamp off the string on a CP machine is an important factor. If you get it in 2 seconds for one string and leave the other to be pulled for 7 seconds you will lose less tension on the latter. I think there's less to go wrong on a lockout, but I do prefer the CP, as I feel that I am quite consistent with my timing. Also, with a CP you can intentionally leave elastic strings just a bit longer so their tension loss will be lower after you take it off the machine.
Anyways, if the OP finds the number on the machine that he likes, be it LO or CP, thats that