Comparing wig shades under stage lights

[Ameliases]

My new identification photo makes my natural brown hair look distinctly reddish, although I have not dyed it. It looks different in my usual mirror. Previous daylight pictures look less red. I am trying to work out whether the difference comes from the light, the camera, or the printed photograph. I found hair color analysis while searching for better language to describe what I see. I am only trying to describe my existing color. I would prefer a basic check to a complete makeover. Would you take a fresh picture beside a neutral background and compare it with an unedited daylight image? I would leave filters off in both cases. I can also keep the framing similar. The printed version is what worries me most. Which variable would you check before the others? I would like to know whether a retake is worth requesting before assuming my everyday view of my hair is wrong.