The whole issue is very complicated and generalisations should be avoided. We seem to have preoccupation with extremes thrust upon us these days. Media like to stir up divisions by association instead of searching for an optimum general strategy for the betterment of the majority. Quiet common sense doesn't sell. A "Tiger Mother" and a lax, permissive environment for children are both sensational extremes which are best avoided. Discipline is vital to the upbringing of children, and I am inclined to agree that these days, on the whole, most parents are not strict enough - at least where I live. A certain amount of competition can be a healthy thing if applied judiciously, in the right places and at the right times, but to live as if one's life were a battle for breath is just plain stupid.
Freedom and discipline are two faces of the one coin; you cannot have one without the other, either socially or individually, for too long without adverse consequences. And the discipline which counts in the end is self-discipline, without which real personal freedom is impossible. Therefore while external, imposed discipline is necessary in the early years, it is important that its end is understood to be a creative, voluntary self-discipline. If this is not so, then like those who spend many years in occupations being ordered what to do in knee-jerk fashion, we shall be gravely lost when the surrounding enforcement is removed.
Certain things the Tiger Mother says I am inclined to agree with. Television, for example, needs particular care, and ought not to be used as a child minder. Other assertions are ridiculous and limiting. What precisely is special about a piano and a violin ? If the saxophone or the drum speaks to the child's heart then that is the correct instrument to encourage. I agree that parents ought first to assume that the teacher is correct, that any authority is correct, and take the child's part against authority with the utmost reluctance, and only after circumstances prove it justified. In all of my son's schooldays, only one such occasion happened to me.
So in total, I feel the Tiger Mother is not so much wrong for using discipline per se, but wrong because she is using it to misguided ends and in neglect of any wider perception of what it means to be a human being in the total sense of the word.