Unfortunately, you canNOT depict perceived brightness with a picture. You can spend some time looking for settings that look similar, but give up on finding a consistent method as it will be impossible for you to achieve this.
Perceived brightness depends on your age, your eyes and your adaption to darkness.
Depicted brightness varies with camera settings, camera's sensor's sensibility and behaviour, demosaicing algorithm applied to the image channels, monitor's color profile and brightness (which is different for everyone of course).
Also, cameras act as non-linear filters too, by compressing dynamic range and at the same time exagerating differences between different shots that in reality look quite similar.
Those are the reasons that brought to the use of "control shots", comparison shots (for tints and beam profiles) etc... It's to show the difference between two things rather than describing them carefully. You add that information to your real-life experience and you have an idea.
I think it is so, but i hope to be proved wrong and that someday someone will come out with a reliable depicting method.