artchill: your response makes a lot of sense. However, if it’s backed by the Gedolim (i don’t know if it is) then who are we to argue?
a nice pshat i heard- “Smol Doche, Yemin Mekareves”
Push with the left- it’s weaker. Pull with the right- this should be your stronger approach.
and notice, that if you push something with your left hand and pull with the right, you end up turning the item 90 degrees- to face you. So if one follows this approach, of both pushing lightly and pulling lightly, you will end up turning the person around.
Have a great meaningful Shabbat!