If you tend to rotate the face closed in the downswing, a LAB could be very good for you.
If you putt with a lot of hand and wrist controlling the club then a LAB probably isn't the best for you.
The more your elbows or lats or shoulders control your stroke, the better a LAB will likely be for you.
Anecdotally, any ZT putter with shaft lean seems to have more left misses if you rotate the face closed in the downswing.