Firstly let me say John education on the African plains was easier than this.
I am still trying to get to grips with the term ' Perspective ' in this discussion.
I have been compiling a reply in note pad that I have just read. Got totally confused and deleted it.
Being a simple soul I would look at subject A and decide how I wanted the background to impact on the final image. I may move closer with a wide angle to give depth to the background or move further away and use a telephoto to draw the background up. The relationship of other elements within either image would be quite different.
The question is then is that affecting perpective as I understand it. I would say YES.
Don
PS Phew