  It is shown that the incomplete scalar meson nonets found by Toernqvist (T)
and Toernqvist and Roos (TR), employing a new version of the Helsinki
unitarised quark model, should in fact be complete, including an as yet
unconfirmed light K*0 below 1 GeV (old kappa) and the established f0(1500). A
detailed comparison is presented with the predictions of the Nijmegen
unitarised meson model, in which two complete scalar nonets show up below 1.5
GeV. The reason for the flavour-nonet breaking found in T and TR we argue to
originate in the use of coupling constants for the three-meson vertex which are
not independent of flavour. Also some statements made by Toernqvist are
critically reviewed.
