Yes, 6mm NoMorePly can be used on a stud partition wall as long as you ensure that it is adequately supported. There must be a support on all four sides of each board, and a support in the middle of each board. Often this means that you will need to add a few extra noggins to your existing stud partition.
Once the partition has been adapted to suit the dimensions of the 6mm boards (1200mm x 600mm) you can proceed following the same instructions as for the 12mm boards.
The 6mm boards will hold the same weight of tiles as the 12mm boards but they have a lower ‘screw spoil strength’ so for example you would need to provide a ‘pattress’ behind the 6mm boards when fixing a towel rail to the wall.