Tiger Mom/10,000 hours to mastery or breadth of experience. This question has always interested me. My friend, Harry Joiner, advocates for mastery. "Be a hammer."
Epstein's conclusion sums it up nicely:
Finally, remember that there is nothing inherently wrong with specialization. We all specialize to one degree or another, at some point or other. My initial spark of interest in this topic came from reading viral articles and watching conference keynotes that offered early hyperspecialization as some sort of life hack, a prescription that will save you the wasted time of diverse experience and experimentation. I hope I have added ideas to that discussion, because research in myriad areas suggests that mental meandering and personal experimentation are sources of power, and head starts are overrated