And I quite disagree. There are many shapes bullying can take and they are certainly not all equally damaging by any measure. To pretend that they are all equally damaging is incredibly naive and ignorant, at very best. Nor, for that matter, is everything that is damaging necessarily bullying, as a side-note, as you should, in fact, be well aware. I shouldn't feel that I need to bring that up, but your argument seems to rest on twisting various concepts into somewhat nonsensical territory. A random driver accidentally running over someone's dog and killing them is certainly damaging, but isn't bullying by any reasonable stretch of the imagination. An unfriendly acquaintance intentionally running over someone's dog and killing them is certainly damaging, and could well be part of bullying, though not necessarily.
What I've said should have already made it rather clear, so this looks like nothing more than a cheap attempt to try to find something to twist in strange ways. I'll refrain from poking at the strange way that you formulated your question, though, beyond noting that it's quite the strange way to formulate it.
Here, though,
wikipedia is ever a fine start to dealing with a topic.
Being ostracized is simply being excluded. Nothing about simply being ostracized says anything about
why one is being excluded, which is
essential to determining whether bullying is actually occurring. If it's being used as a method of coercion to abuse or intimidate another? Yeah, that's bullying. If the ostracized person made themselves so odious that groups of people just wanted to have nothing to do with the person? No, that's not bullying. Is it unpleasant and potentially damaging for the ostracized person in either case? Fairly certainly, but that has nothing to do with the issue at hand, which is whether it's bullying.