I barely know the rules of Go, but I have great respect for the game and I believe it would apply there as well. The interface is based on the fact that chess is primarily a game of visual pattern recognition. Tactics like forks and pins, positional concepts like isolated pawns and weak squares, these are captured and processed visually. Getting good at chess is as much about learning how to literally see the patterns as it is about calculating ability.
To your other point, intuition is never going to replace deep calculation for slower games. But the ability to process visual patterns still aids with the deep thinking aspect. You can perceive more subtle patterns and add them visually while thinking carefully about each move.
Ah, so is the interface mainly to help point out the common patterns (especially if you missed them) during review? Or during play itself? Go has its patterns too, so you might be right that it would apply well there.
Both afterwards (training mode) and during (training wheels mode). Heck, this software might even allow me to attempt learning go, which feels like a herculean task for my no-longer-youthful synapses.
To your other point, intuition is never going to replace deep calculation for slower games. But the ability to process visual patterns still aids with the deep thinking aspect. You can perceive more subtle patterns and add them visually while thinking carefully about each move.