(This is a revised question - including answer - following on from macOS: Take emoji from characterPalette which describes the problems encountered in more detail)
Background/use case
I have an app where, instead of creating and maintaining an icon library, I let users type an emoji as a placeholder graphic. This works beautifully within the context of my app, but I am not happy with the input mechanism I use.
Problem
I would like to simplify this so I open the characterPalette, select an emoji, and display it either as the button's StringValue or in a Label (=non-editable NSTextField).
This does not seem possible. Unlike NSColorPanel or NSFontPanel, the characterPanel is not exposed to the Cocoa framework, so I cannot take its selectedValue, set its action, or catch a notification. The documentation for orderFrontCharacterPalette simply says Opens the character palette which ... is not helpful.
Attempted solutions and problems encountered
I tried to work with making my receiver the firstResponder, but unlike NSTextView, NSTextField cannot process emoji. I found a workaround using an NSTextView with an NSBox in front, making it the firstResponder, and using NSApp.orderFrontCharacterPalette(sender)but found that under various circumstances which all seem to involve an extra drawing call – setting the button's title, showing a label in SystemFont Mini size (regular size worked fine) the CharacterPalette will open (=the system menu now offers 'Hide Emoji & Symbols') without being displayed. (This persists until the application closes, even if you try to open the CharacterPalette through the regular menu/shortcut)
For the partial solution involving NSTextInputClient (the no-show seems to be a persistent bug), see answer below.