your attention should not be on the person you have just thrown but possible attacks from other directions.
I'd partially agree with this, but not with the argument and logic of how you arrived at this conclusion. It would be accurate to say that your primary focus should always be on the immediate threat, while your peripheral awareness should be on potential secondary and tertiary threats.
It is also used to practice turning to receive another attack from another direction after the throw of the first attack...
Sure, it *could* be used for that purpose, but the argument is akin to the old debate of the functional purpose of Naihanchi
(a Karate kata). You appear to be drawing the same conclusion as many have done - that the function of the kata
(or in this case waza
) is based on the lines of embusen
; i.e. used for fighting with your back against a wall, or whilst standing on a dyke in the middle of a paddy field, or defending the King on the steps of the castle. It simply isn't... *could* be used, is not the same as why a technique is named as such.