There is no “on(‘bookmarks-menu’…” method and none of the other menu methods are triggered when showing the contextual menu on a bookmark pane item.
Answering my own question with a somewhat hacky method:
this.registerDomEvent(window,'mouseup', function (e) {
let menu = Array.from(this.activeDocument.body.children).find(child => child.className === 'menu');
// only one “.menu” is open at a time
// add checks to determine that the menu is the one you want
// and create and insert your menu item
});