Although there's no such thing as an effective "general resume" (after all, why would an employer want a person who has developed no expertise at all, when he or she can choose a candidate with the required expertise out of the ever-higher number of applications?), sometimes a well-rounded background is useful.
For example, a General Manager may indeed be most effective when he or she has worked up the ranks, and knows a bit about procurement, operations, supervision, finance, recruitment and so on.
But a surgeon? No, well-rounded is not the way to go. A surgeon must demonstrate extreme focus to the heart surgery or whichever body part he or she has expertise in conducting (and preferably with great results!).
Best to figure this out before you begin composing that resume!