Does moving an escort mission to the Pacific leave it unchanged?

Is Constellation's mission effectively the same as the Cold War escort mission, only in the Pacific?

No. The reply treats the Pacific setting itself as a substantial change in the mission.

The viewer describes the mission as effectively the same Cold War escort task in a Pacific setting. The reply treats that change of theatre as a substantial difference in the operating requirement. A shared broad purpose does not establish that the mission is identical.