It doesn't really change the problem, since the idea is that
the source gamut is contracted and expanded to the PCS gamut,
then the PCS gamut is contracted and possibly expanded to
the destination gamut. If the PCS gamut was a very large one,
and the source simply sat within it, then the destination
mapping would contract the whole colorspace (on the basis
of making the PCS gamut fit), reducing the colorfulness
of the result dramatically. The suggested standard PCS gamut
is a fairly large "printer like" one.