- the bass of the instrument, which would be to the left/west
- the bass of the bridge, which would be to the south.
If my musings were correct, instead of left-leaning pins, I should have been trying to create southbound pins, thus tapping against the grain and not encouraging the cracking. After all, the instrument is strung east-west, not north-south like a harpsichord! Doh! I should realize that if I can't make sense of something, it's probably because it's wrong.
A response from the manual's author confirmed all my suspicions. So now I'll try tapping the pins again, this time in the correct direction and, hopefully, with better success.