  We study two novel aspects of democratic 3HDMs -- the custodial limit and the
possibility of wrong-sign Yukawa couplings. In the custodial limit, the
democratic 3HDMs can easily negotiate the constraints from the electroweak
$T$-parameter. We also uncover the possibility of having wrong-sign Yukawa
couplings in democratic 3HDMs, as in the case of 2HDMs. We show that a
democratic 3HDM encompasses all the wrong-sign possibilities entertained by
2HDMs, and has considerably more leeway in the wrong-sign limit as compared to
the 2HDM case. Our study underscores the importance of reporting analysis in
the kappa-formalism without any implicit assumptions on the signs of the
kappas.
