Then sun is quite massive. Energy produced in the center, which is quite large, will be constantly absorbed by other bits of sun, and re-emitted in an arbitrary direction. It sort of “wanders” without aim.
Energy emitted from the surface, however, is all EM waves, light. The light isn’t hitting a whole lot along the way to earth, so it travels at more or less C, the speed of light, and so it arrives quite fast.
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