I consider the ideal to be a broad general base with one or more deeper specializations; akin to an ocean floor with some (Marianas) trenches.

Some problems need that deep, specialized knowledge to get a good solution.

Some problems need broad, cross-specialty and/or multi-disciplinary knowledge to get a good solution.

Some problems need both, particularly when you have problems that need a team to solve - the broad knowledge lets you communicate well with specialists in areas you have some shallower knowledge in. Perhaps more importantly, having broad, shallow knowledge lets your recognize when you need to reach out to a specialist, and which type you need.