The ABH-DVA, or add-on acoustic black hole based dynamic vibration absorber, represents a novel passive technology for structural vibration suppression. By leveraging the combined strengths of DVAs and the ABH effect, the ABH-DVA demonstrates superior broadband vibration and noise control capabilities compared to an equal-weight counterpart. However, the underlying noise radiation suppression mechanisms in a coupled platecavity system equipped with an ABH-DVA have not been thoroughly explored. This paper investigates the noise suppression performance and mechanisms of a plate-cavity system integrated with an EABH-DVA, a circular eccentric vibration absorber based on the ABH effect, under interior acoustic excitation. The EABH-DVA achieves enhanced sound radiation suppression across a wide frequency range, outperforming its equal-weight counterpart. This suppression mechanism is primarily attributed to two factors: the enhancement of structural modal damping within the EABH-DVA substructure, and the reduced cavity-structure-radiation energy transfer capability due to the modal shape reconstruction of the host structure's panel in the EABH-DVA system. To obtain a better suppression of sound radiation at higher frequencies in the EABH-DVA system, a new design incorporating an embedded ABH plate with an ABH-DVA is proposed. This paper offers a promising direction for further applications in sound radiation suppression for plate-ABH-DVA-cavity systems.