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Trying to figure out if defenders of faith (sticky objectives) rule or the Simulacrum (miracle dice on 4+) rule work for Battle Sisters squads inside of a transport.

No. The unit is not on the board, so none of its rules apply unless they say they do. See Transport rules in both the Core Rules and the Rules Commentary.

Units inside transports do not count as being on the table and therefore any abilities they have will not apply (unless explicitly stated).