For me it is required to be a master of both things like of course you can not have experience if you are not going to try and some people would think it's a waste of their time if they are doing what they know already like repeating their work over and over again. So it should be in a balance.
I really think being both is good. However, if I have to choose between the two, I'd rather be a strategic person. If a person is strategic and he knows that he is against someone who is smart, he can find ways to out smart them. Being strategic is hard to learn, being smart can be worked out.