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.
If I were to choose I would prefer being a strategic person. I believe that being smart and being strategic differs in many ways. Being smart but not having the ability to do great strategies won't be much effective. While being strategic and being able to make wise decisions is like being smart in a better way. A smart person should know how to do such strategies.