I can not image there is a spatial distribution of photon on the screen from the experimental you described:

There are two slits: A and B. Photon could select  to pass either slit A or slit B.
The number being recorded are (Possible results are)
1. photon pass slit A and detector A find it.
2. photon pass slit A and detector A did find it.
3. photon pass slit B and detector B find it.
4. photon pass slit B and detector B did find it.
 
I can not find the connection between what you have described and results shown in the attached picture.