So light A can only be operated by the switch next to door A, and if you want to go out of door B, but light A is on, you have to walk over to door A, turn off the light then walk back to door B?
All because someone couldn't be bothered to spend a few more pence on cable and have both lights two way switches next to both doors?
I'm not sold!
I have this arrangement, in my kitchen, and it works just fine....
Two lights positions, in quite a large long kitchen, there are two doors, both at the same end of the kitchen, about 10 feet apart. One door (A), leads to the hall, the other out the side, to a sort of second rear hall (B). Inside the kitchen adjacent to door A, is a 2-gand two-way switch, a two-way controls the light nearest the switch, the second gang, used as a 1-way, controls the far light.
Adjacent to B, is a second 2-gang, 2-way. one gang used to control the nearest kitchen light, the second gang used as a 1-way, for the back hall area light.
If you are passing through the kitchen, from the front hall, in the dark, you turn the 2-way light on, then turn it back off, via the 2-way at the rear door.