Maybe? Some shaders do have HDR and non HDR variants. Mainly deferred shaders, so checking it off may allow Unity to strip those shader variants. Might strip them for other reasons too, so it might not change anything for your project.
Need more detail about what you’re trying to ask.
No.
No, and yes. For a camera set to allow HDR it changes its default frame buffer format from
RenderTextureFormat.Default to DefaultHDR (which in turn is defined in the settings).
Nothing, apart from that setting changing the DefaultHDR format, and thus what format HDR cameras and render textures created with that format use.
When HDR is enabled it means HDR cameras render to a higher bit depth render buffer than the default ARGB32 (usually ARGBHalf, unless modified in the settings), a shader keyword is enabled which may cause some shaders to use a different variant, and the post processing stack will switch to using the same format if it and the camera rendering is in HDR mode.