No luck on the name, mate. But if you tap-and-counter-attack, you are probably opening yourself up to something nasty, IMHO -- you've disturbed his attack, but the tap gives him energy to work with while you raise up to shomen; unless you've struck it hard enough to knock it it completely away, or have hit his hand (so he cannot hold it), you've just set yourself up for a classic tsuki attack.
I have seen the technique you've described taught and executed -- with the intention of striking the kote or hands, prior to the coup d grace -- this set up the necessary mai and opening for the shomen. Padded gloves were involved, though the advaced students were able to receive the attack and defensively blend so as not to need them.
Hope that helps