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Yes, they can... I'm not sure who said they can't all proc together, but they do.
What you're probably confusing is the effect that resilience has on proccing effects from critical hits. For instance, if you have a 10% crit reduction from resilience, then Blessed Recovery has a 10% chance to proc on every normal hit. The same is true for all other abilities that proc on hits, but each check is an individual roll, so the likelihood that all of them will proc at once is extremely small.
For instance, if there's a 10% chance to proc 3 things, the chance to proc all 3 things on the same swing is something like 0.1%. On a critical hit, all 3 things will proc as normal.
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