  We show that the latest and very precise dispersive data analyses require a
large and very unnat- ural fine-tuning of the 1/Nc expansion at Nc = 3 if the
f_0(600) and K(800) light scalar mesons are to be considered predominantly
quark-antiquark states, which is not needed for light vector mesons. For this,
we use scattering observables whose 1/Nc corrections are suppressed further
than one power of 1/Nc for quark-antiquark or glueball states, thus enhancing
contributions of other nature. This is achieved without using unitarized ChPT,
but if it is used we can also show that it is not just that the coefficients of
the 1/Nc expansion are unnatural, but that the expansion itself does not even
follow the expected 1/Nc scaling of a glueball or a quark-antiquark meson.
