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Understanding Poynting's Theorem intuitively

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understand that, broadly speaking, Poynting's theorem is a statement of conservation of energy.

There are many forms of the theorem, so I will simply give my current intuitive understanding of it in words:

Energy density of a volume of current and charge decreases proportionally to work done on charges within the volume and by energy flux through the surface bounding the volume.

The energy flux term is the area integral of the Poynting vector.

My question is this: is this energy flux that is described by the Poynting vector a form of electromagnetic radiation? If not, how is energy radiating out of the charge and current distribution if not by work done on charges? By what agency is this energy density being exhausted?

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