Changing Depth Buffer Comparison Function for Specific Camera

Hi,

I need to render depth buffer that contains depth values of the farthest pixels of the back facing polygons. I use a camera that renders depth to the render texture (RenderTexture Format.Depth). For this camera, I enable inverse culling (GL.invertCulling), clear depth to "0", and I need to change depth comparison function to "ZTest Greater" for all shaders. Is there a way to set it globally (for a specific camera) without using replacement shaders?

The reason I don't want to use replacement shaders is that I use some specialized shaders and I can not replace them with shader containing only a generic ShadowCaster pass.

Thanks!