In my definition, a "posi" or "limited slip" will not fully lock the axles together like a locker does. A posi or limited slip has clutch plates in the differential and these clutch plates will slip (as they are designed to) and if, for instance, if you have one rear axle tire in the air and one firmly on the ground, the one in the air will be the one that will spin, while the other will have "power" applied to it, it will be at a greatly reduced rate because of the slipping in the clutch plates.
Now in the same situation a locker will "lock up" and effectively become a spool, and you will get 100% drive to both tires, so both tires will spin, no matter if the tires are on the ground or in the air.