I don't see how that would apply to, say, the physical sciences. You can't really "think for yourself" when it comes to matters of chemistry or biology. Independence is great an all, but it won't do you any good when you're defining the attributes of molecular bonds.
The entire nature of science is built upon independence, thinking for yourself, and rebellion, simply because the boundaries of science are very well equipped for them. You can dream up the most elaborate and independent hypothesis you want to, but at the end of the day you still need empirical evidence, solid inductive reasoning, and good logic for it to be of any value. The entire Kuhnian philosophy of science is built upon the paradigm shifts that redefine how science works, an event that would be impossible without independent thought.