Earlier quoted context omitted.
That work is highly speculative (I've studied, but not as my primary work, enzyme kinetics and reaction mechanisms). Finding holes in transition state theory isn't hard and I don't see that it's necessary to invoke tunneling protons to come up with better theories. Even the physical experiments cited in the Ball article, are pretty speculative, and aren't accepted by the mainstream. I find it pretty amusing, because…
The ammonia maser uses proton tunnelling.. the guy who invented that also got "laughed out of the room". Well, it's probably a different pressure / temperature than enzyme kinetics, but those physicists, they like to own the quantum and not let anyone else have it. :-)
Iirc, given some estimate of the relative potential energy barrier formed by the hydrogen atoms, we showed that the nitrogen atom would effectively oscillate between the up and down states and calculated the frequency of oscillation.