You can't "capture the real world as faithfully as possible" in the same way that there is no map projection that "portrays the globe as faithfully as possible"

You can't "capture the real world as faithfully as possible" in the same way that there is no map projection that "portrays the globe as faithfully as possible". It's the impedance mismatch between the real world - which is incredibly complex and messy - and a snapshot of that encoded as a JPEG.