I just realized that Rick's post above showing Oklahoma and Nevada at Pearl on 11/3/41 was taken post Ariz/Okla collision which occurred on 10/22/41. There is no visible damage to Oklahoma in the pic and she is clearly not in MS-12 at that time. I decided to try to track Oklahoma's movements from the collision until the attack.
After the collision, BATDIV 1 returned to Pearl on 10/26/41. Arizona moored at the 1010 dock, Oklahoma at F-7, and Nevada at F-8. The next day Arizona would enter the drydock.
On 10/30/41 a few overhead photographs were taken of Pearl confirming the locations of the three ships.
On 11/1/41 a large taskforce known as Taskforce 1 left Pearl for exercises. Most of the battleships, cruisers, and destroyers left that morning and would be out for 10 days. BATDIV 1 stayed behind for at least a couple of days.
On 11/3/41 the photo that Rick posted was taken.
Shortly after this photo was taken Oklahoma and Nevada left Pearl as well, leaving Arizona still in dry dock. This tells me that the damage to Oklahoma during the collision was very minimal.
While at sea, footage of the two ships was filmed showing both in MS-1 still.
On 11/8/41 this photo of Arizona was taken while in drydock.
On 11/12/41 Oklahoma would separate from Nevada and return to Pearl. Arizona would exit the drydock and on 11/13/41 Oklahoma would enter the drydock. That same day Arizona left Pearl.
On 11/17/41 Arizona returned to Pearl. Nevada returned on 11/19/41.
Sometime after 11/22/41 both Arizona and Nevada left Pearl again and would be out until 12/5/41.
On 11/26/41 this photo was taken showing Oklahoma still in drydock.
On 11/29/41 Oklahoma left the drydock and on 11/30/41 she left Pearl and joined up with Arizona and Nevada at sea until 12/5/41.
On 12/5/41 Dr. Eric Haakenson aboard USS Solace captured film footage of Nevada returning to Pearl still in MS-1/5.
There is one photo during the attack that could possibly answer the question if Oklahoma still had her false bow wave. Unfortunately the one I have is suggestive of one there but still a bit inconclusive.
If Oklahoma did repaint into MS-12 then the only time it could have happened is while she was drydocked for 16 days in November.