Cpt,
We have different memories, and there may be variations in the types we have flown, but on all the 365 models I have flown, including that particular aircraft, without the FD or Coupler engaged, pressing the go-around button is completely ineffective.
If the FD is selected ON, pressing the button selects the A/S hold to 75 kts, and the horizontal beam bar appears, but only on the P1's side.
If the coupler is selected ON, the autopilot will input controls to the pitch channel to adopt the attitude for 75 kts IAS for the particular power setting.
The pilot must control the power, and would normally apply go-around setting (100% torque up to 75 kts).
Heading control, bank angle, etc. have nothing to do with the go-around function, it deals only with airspeed.
The only difference I can remember is some aircraft have the FD beam bars on both sides of the panel, but the go-around function has always been as I have described, including in the aircraft which crashed.