While I would use this method on metal-detecting coins (if I wanted to put them back into circulation), I can't IMAGINE using anything like this on coins I wanted to keep! The furthest I've ever gone has been a wet tissue (several, actually) on an obscenely dirt-laden silver piece that also happened to be bent. I will NOT unbend it, but the water helped get enough of the grossness off that I can at least better see the coin's details and pictures. However, I'd never touch it with anything but water - I hate artificially cleaned coins.
Besides, obviously something happened to it to make it this dirty - the real question is, what? This coin is also interesting in that it has over half a dozen small stab-like dents on George VI's face... I wonder what ol' Georgie did to deserve stabbings

. It clearly has a story behind it, at any rate; there's "scope for imagination" in it, as Anne of Green Gables would say.