How do I use the compositor to render with different color management profiles? I'm using several scenes to render several images at the same time with the File Output nodes in the compositor. I have different Color Management settings in my scenes. Yet when I render my images all of them use the Color Management settings of the scene I am currently in.

How do I make the Cycles Compositor use the Color Management settings of the scene that is used in my different Render Layers?
I am reasonably sure this can't be done from within Blender. This is a design flaw in that baking colour transforms isn't dealt with in an optimal manner.

You could however save your images as scene linear and apply the transforms using other tools such as the command line tools from OCIO.