That looks right that 3 of the connections make the pump spin in reverse.
One more thing to try though is with one of the connections that runs the pump in reverse, connect the Z/F direction pin to 5v to make it reverse, hence making it run in forward direction.
I am thinking since the wiring that runs reverse use a higher current, if it maintains the higher current but runs in forward direction, that would give the best flow.
The commutation signals of the lower current (forward spin) do not overlap, the signal looks more like ON-OFF-OFF-ON-OFF-OFF.
On the reverse spin, the signals look like ON-ON-OFF, ON-ON-OFF, hence the higher current.
From what I understand, to reverse spin, you simply reverse the sequence of commutation signal. So if that is the case, the signal for each line will still be ON-ON-OFF, but in reverse sequence, so pump runs in forward direction at higher current. At least that's what I am hoping.