All LSD will tend to counteract self centering. Helical type is much easier to live with - plate types are more aggressive and can be hideous when 'parking', but can be tuned by ramp angle and pre-load, or even negative pre-load, to have different characteristics on and off power. Main problem is that as they rely on friction plates, they will inevitably suffer from wear and the amount of locking can reduce quite quickly. I work in the tranmsission business and we have seen this happen in 20 laps in extreme cases.
The ideal FWD diff is very complex, expensive and probably to big to fit in the orignal housing. People such as TGM will have pracrtical experience of the best option - but just remember that what is good on the track will not necessarily be practical to live with on a daily basis. Even the Focus RS, which used the Quaife ATB gear type diff, had a reputation for being difficult at times.