NO, I do not agree.
The NTU is defined as an integral of the inverse of a driving force, over the separation required. This means that for a given separation, under given operating conditions, the NTU is defined. At this stage the packing data is not considered
For a newpacking, the efficiency, the quality, of the packing may change, and the HTU (heigth of a transfer unit) will be different, usually smaller, than for older packings. This means that a given length of packing will achieve more, and that, overall, a smaller bed is needed.
Of course, you may also decide to change the operating conditions, i e increasing the L/V ratio, this canges the distance between the operating line(s) to the equilibrium line. And thereby changes the NTU. But this is different. The design path is the same. You define the need, calculate the NTU, and then the packing heigth.