While I recognise that moving JIRA issues between projects breaks the AHA integration links, the workarounds proposed here are not helpful.
Option 1 ("Relink each record manually") is the only viable workaround, with options 2 and 3 being too hazardous or error-prone, however by NOT supporting updating AHA issues to be bulk updated by CSV, it makes this solution very cumbersome in practice.
Supporting updating AHA integration links by csv upload would greatly help this process.