
A living ash is respectable wood; a dead one is a different tree entirely. Once EAB kills it, ash goes brittle fast and sheds limbs in light wind or on a still day, which is why it fails differently from everything else on this list — it does not bend and split under ice, it snaps and drops with no load event at all.
The only ash worth pruning today is one already enrolled in EAB treatment; a healthy ash takes structural pruning well because of its opposite, upright branching. The trap is pruning a declining ash to tidy it up — Purdue's threshold is that past roughly 50% canopy loss no treatment will recover the tree, so removing more live canopy speeds the decline and spends money on something you will remove anyway.