Lie-Nielsen's quoted parameters are all plane sole's flat within 0.03mm, a little over a thou of an inch. I've got four LN bench planes, 4 1/2, 5 1/2, 7, and their low angle jack. All four met those specifications, and the 7 was perfectly flat against my engineer's straight edge.
However, that doesn't mean that hand lapping can't improve the performance of LN planes, I think it can.
Firstly Karl Holtey claims his planes are flat to less than half a thou, and he says that's the standard required to consistently produce a one thou or less shaving. Now, my "standard/fine" shaving is about two thou, and ordinarily a LN plane delivers that straight from the box after honing the blade. But sometimes I do want a one thou shaving, and to achieve that consistently will, just as Karl Holtey says, require further lapping.
Secondly, no cast plane will be stable, so just because a LN plane delivers satisfactory two thou performance straight from the box, doesn't mean it will continue to do so into the future. Consequently I check and re-lap all my planes once a year as required. All Souls Day might be an appropriate and memorable diary date for this maintanence!