Thats to your own choice.
A locker will stay locked. When turning both tires will remain rotating at the same rate when they need to be rotating at a different rate (outside tire has a larger radius to travel vs the inside travels a shorter one thus the tires will rotate at a different rate) so say in slick conditions, turning you may find it uncomfortable and wanting to steer straight, while on dry pavement turning they will want to spin different speeds but cant and cause a bind and usually the inside tire will chirp sometimes when turning sharp. a locker usually causes stress and wear prematurely.
a tru trac, is considered a NON-SLIP differential, meaning it'll allow the tires to spin at a different rate but when you apply torque to a true trac (mashing on it) it forces it to lock both tires together thus spinning both for more traction. since they allow each rear tire to rotate at whatever speed the want during a turn its less stressful and binding.
Lockers tend to be cheaper, which is why if i break another true trac im just going to do a locker. I dont daily my truck so it wont bother me.
I think you're confusing a Detroit Locker with a spool or something.
Lockers are actually more expensive. And they are supposed to unlock when a side load is applied, but this causes the notchy action some complain about when street driving or parking. It can also try to drag front tires when going in reverse trying to turn sharp.
And trutrac doesn't lock both tires, it just attempts to send power to whatever side it thinks has the most traction.
I just picked up an Eaton LSD I may put heavier springs and steels into and try out in my Silverado for a change of pace this summer. Some complain it clunks and gets notchy too, but well see, as long as traction is solid, consistent, and predictable that's all I care about in a weekend warrior, dd is different.