nagashi is not instant. if i need about a second to use pure chakra he would also need about a second plus some to elementally recompose his chakra. plus he has to send it from his entire body while mine is only focused in the arms and hands.it still wouldn't work b/c you are reacting plus moving the wrist like that would break a few bones and slow you down a lot so by the time you get the jutsu off the nagashi takes effect already
order
you grab him he starts using nagashi
you see him already start the jutsu and try to move your wrist hence probably breaking a few bones
he continues with nagashi while you are in pain and try to move
he does nagashi while you focus chakra for your jutsu (which requires about a second)
so you wouldn't be able to get it off on time
i grab him.
notice the chakra begin to change
expel mine at about the same time he would have released his
and im not stuck in the ground i can move fluidly so i wouldn't struggle to do anything
my attack is slightly faster and he moved slightly before me so our attacks would happen at the same time. and im watching him the whole time monitoring his chakra.