Isn't the 2's thing 'making others happy makes me happy' ? That can be Fe or Fi in execution really.
I'm a 4 and while I do subscribe to the 2's mantra, I prefer doing it through my own thing aka being as creative and as individualistic as possible and hopefully inspiring others that way and making them happy (which I guess could be that rare integration of 4 into healthy 2). Or, even helping others and making them happy becomes your unique shtick, with your creative twist as to how to do that.
Meanwhile, I guess a 2 could do the same by using their unique personality in order to achieve that happiness in others.
It's a means vs goal thing? Or even a sidebonus thing?