The point that I've been trying to (badly) make is that there is something else wrong if anyone is having severe problems with a properly set up LSD. Sure going to a locker may mask the problem and appear to fix it but there is more to it than that. If a car handles badly in any way, including under heavy braking, then logically the first thing to look at is the suspension and it's alignments, keeping in mind that usually a change in alignment will have more than one effect including those you don't want. It's all a balancing act with suspension settings.
As for diffs then yes, the suspension has to be set up to suit the type of diff eg the first requirement with a Torsen type is to make sure both rear wheels are always on the ground, a requirement obviously not required with a locker which means that for a start a rear anti roll bar may be used.