Torsion is the twist around the long axis of the ski. Longitudinal is the long way, bending the location of the shovel with respect to the tail.
The torsional stiffness keeps the edge from washing out -- if the ski can twist, even when the part under your foot is at a good angle for edge grip, the ends of the ski can be at less of an angle to the snow. Only true beginner skis would be soft torsionally on purpose, to be forgiving of unintended edge engagement. Still, I have demoed some skis that felt "vague", which I interpret (rightly or wrongly) as not being stiff enough torsionally.
Being relatively soft end-to-end means I can ski a longer length but still absorb terrain irregularities. It also means it is easier to get the ski to bend into a carving arc on edge.
In the "old days" -- think 40 or 50 years ago -- it was difficult to design stiffness in the two directions separately That is much less of a problem these days. But I still doubt those "vague" skis were designed that way on purpose.
I suspect virtually all advanced skiers would agree torsional stiffness is a good thing. The length-wise stiffness is much more of a personal preference.