Thanks very much for your input guys
yes, the strike that I'm referring to is the first head strike.
I wonder what's the difference with that strike and yokomenuchi?
and Saito sensei called it haiyai gaeshi (I'm sorry I still don't know how to spell it) or is this a type of yokomenuchi?
Haiyai gaeshi = quick turn?? Sorry that's not a definitive answer.
That strike is exactly what I would call a yokomenuchi in aiki-jo context. It's jun, not gyakku, as I understand the terms. But I could be wrong about any or all of this.