dufc, it may depend on the capabilities of the retrieval ship, on whichever one the government selects. WHOI has several months remaining on its contracted period, so it is not as if they need to rush off to another task.
And WHOI may still be needed. When a Canadian Coast Guard cutter was pulling up a forward cargo door (considered a vital item) from Air India 182, the line snapped as it was about to be hoisted aboard, and the door sank back to the abyss, never to be found again.
I would expect that once retrieval starts, there will be a small flotilla of vessels on the scene, including the French navy, and possibly the Brazilian navy.