I don't think omitting some of your old positions that you think are irrelevant amount to lying.
Going back to Union Salting:
Often times the "salt" is a star employee; they're always on time, never say no to a job, pick up shifts nobody wants to take to ingratiate themselves both to management and their colleagues. They don't ask for raises and never complain to management. Their intention is to organize workers and so they want to be the sort of model employee a manager will keep around.
The reason why this practice is allowed is because its illegal for unions to walk into an establishment and talk directly with employees about organizing while they're "on the clock" and on premise.