The POB is about 7 inches forward of the hilt, a few inches back from the center of the sword (tip to pommel). In other words, it balances pretty much like a stick. It's pretty nimble, too.
Given how well one can turn the blade, I suspect that if you had to parry with it, you'd use the flat as rather than the edge.
As pure speculation, bronze sword fencing might have been something like Haitian machete fencing (e.g.
These videos). They closely engage so that the opponent doesn't get much space to slip a strike by. That is, if they didn't use a shield. Of course, there are many ways to use a machete, and I'm sure there were many schools for using a bronze sword, too.
Best,
F