Spectral path tracing - image color/brightness incorrect
The problem lies mainly in CIE1931XYZ::tristimulusValues() function, where you normalize the resulting color to the luminance of your illuminant which causes that directly observed light source has luminance 1, but everything else is much darker. That is a nice thing to do if you just want to visualize colours of various reflectance spectra under a given illumination, but is probably not the best thing to do in a global illumination renderer.

To be more specific, you cannot expect a reflectance profile to be rendered always completely white just because it reflects all incident energy (constant spectral reflectance equal to 1 everywhere). Neglecting the material directional properties (BSDF, etc.), the properties of the light reflected from a point depend both on reflectance spectral profile of the material, and on the spectral and angular properties of the incident light. The incident light therefore depends not only on the SPD of the illuminant used for your light source, but also on its size and distance from the shaded point. The points closer to the light source will be brighter, while distant points will be darker.

I would suggest removing the luminance normalization in your Spectrum-to-XYZ conversion completely and then adjusting the overall brightness of your scene by multiplying the normalized SPD of the used illuminant (D65 in your case) with some brightness parameter. Whether you multiply it before rendering, during rendering or during the XYZ conversion step is completely up to you. The choice shouldn't affect the result.