Would Lexington battlecruisers have escorted US carriers?

If the Lexington-class battlecruisers had been completed, would they have been sunk at Pearl Harbor or used as heavy escorts for the carriers?

They would probably have operated with carriers as fast heavy escorts, adding air defence and protection against major surface ships.

Battlecruiser-carrier combinations would probably have formed part of the task forces away from Pearl Harbor. That employment makes the completed battlecruisers less likely to have been caught at their moorings during the attack. In the escort role they would add heavy anti-aircraft fire and protection against larger surface combatants. Their speed and guns could also cover a carrier force during withdrawal from an unfavorable surface encounter. The pairing would materially change how US carrier forces organized and conducted early-war operations.