Now having seen your shrubs, I think the main problem here is poor drainage. Older leaves turning dropping and not being replaced by new growth is only symptomatic. Cutting back on irrigation might help this situation, but if the soil is not draining correctly that may not be a full solution. Not to mention that frequent rain may be saturating the ground anyway. Sandankwa Viburnum (Viburnum supensum) grows well in mesic (moist) well-draining soils, but not in saturated or compacted soils.
If irrigation is needed do it deeply but infrequently. I would also fertilize the shrubs with a complete fertilizer and mulch beneath the shrubs with bark or wood chips. Mulching works synergistically with low irrigation by allowing the soil to remain damp (but not saturated) for longer between watering. Mulching also reduces compaction which contributes to poor drainage. Of course, if rain has been excessive then there may still be too much water.
Also, how many hours of sun do the shrubs get? Viburnum suspensum is somewhat shade tolerant but it usually is more vigorous with at least partial sun exposure.
I'm sorry there is no silver bullet here. Ultimately poor drainage kills more landscape plants than any other cause. However, these shrubs are not yet a lost cause. There is hope. However if the time comes that this bed must be replanted, pay close attention to the soil and drainage characteristics of the site. Mounding, amending, and careful plant selection are the answers, perhaps even a raised bed.