Why? Are V4 profiles "illuminant independent"? Please excuse my ignorance.
they aren't illuminant independent, but they contain enough information,
in order that *both*, a) the "true" absolute XYZ colors (under the
actual viewing illuminant) and b) an illuminant relative transformation
from the viewing illuminant to D50 (that's how ICC-absolute intent is
actually interpreted by the ICC!) can be computed from the profile.
Without 'chad' tag, this is not possible, except in the special case,
that the profile is made for a D50 viewing illuminant (in the latter
case (a) and (b) will give the same results).