Wasn’t this minister of love supposed to be a Nami parallel???
It turns out Oda's wife is a real-life version of Nami, one of his most popular characters. It has been revealed that Chiaki Inaba, Oda's wife, cosplayed as Nami at Jump Festa in 2002 and 2003.
https://www.cbr.com/one-piece-eiichiro-oda-wife-nami/
With this info Nami is the mrs of love hence why her love fist are depicted hurting luffy even if it's only a gag. Hell even garp relates to gaban since garp has the "fists of love ".