It is probably just me but I struggle to see the need to give a sideslip 2 different names when it is the same manoeuvre with identical control inputs. You can use it to lose height without speed or lose speed without gaining height or to assist an observer look out the window or whatever.
It's not just you, me too! I want to go there, but will cross control it and point it over there for a time, to best achieve that. The arrows and terms are of less consequence, if it was safe, and worked as intended!