Depends what you wnat them for, if you let your assistant handle team talks, then motivating is a good attribute to have, as is discipline and man management. Mental helps if you are going to let them handle your press conferences.
Good tactical knowledge is required if you are going to take their advice in this department. Judging player ability and potential will be useful if you are going to rely on their advice in terms of player star ratings; either loan reports, or your current squad.
Adaptbility and working with youngsters are a nice bonus, the rest of the attributes are only required if you need them to also be a part of your coaching staff for training, if not, just let the assistant play a part in all training, their mental attributes will help some players when training.
Physiotherapy is obviously irrelevant.