This is an interesting question. I suspect the answer may vary. Since the discovery of occult hbv, that is HBsAg -ve but detectable hbvdna, blood donation services are more cautious if a donor is HBcAb positive, indicating a past hbv infection and therefore may potentially have occult hbv. The more advanced donation services will now screen donors using a nucleic acid test.
Since we know many people have been exposed and recovered from HBV, a blanket rejection of everyone with positive HBcAb will significantly reduce the donor pool.
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