“White point” might mean the white point of the ambient light in the room, or the white point of the display, or the white point of the sRGB color space spec, or the illuminant of the sRGB color space profile, which for V2 and V4 ICC profiles as @ggbutcher notes the illuminant is always fixed at D50.
Here are some silly examples that might help to clear up some potential areas of confusion, or maybe not . Keep in mind that V2 and V4 ICC specs assume that your eyes are 100% adapted to the “color of white” of the display:
Imagine a display calibrated to exactly match the sRGB color space specs. It would have a D65 white point, same primaries as sRGB, and same TRC as sRGB.
Imagine that you send the image to the screen using GIMP or other software that can use ICC profile color management, but you disable color management. The colors would be correctly displayed.
Imagine that you told your imaging software to enable ICC profile color management, and that you assign the sRGB ICC profile as the monitor profile and also as the image profile. The image would look exactly as it did before you enabled color management, even though now you are using ICC profile color management.
Now imagine that your monitor is actually calibrated to match AdobeRGB which also has a D65 white point but is a larger color space than sRGB, and you continue using the sRGB ICC profile as the monitor profile and also as the image profile (or else you simply disable color management, same result either way). The image will not look right. The colors will be too saturated, but neutral gray and white will still look right, no yellow or blue color cast.
Now imagine that your monitor is actually calibrated to exactly match the old ColorMatch color space with its D50 white point and primaries sort of close to sRGB primaries, and you continue to use the sRGB ICC profile as the monitor profile and also the image profile - the colors will be somewhat close to correct, but there will be an overall cast - white and grey will actually look yellow.