SE Go around you should fly the standard missed approach as published, the EO procedure is only applicable to runway departures.
Fly a SID? Nonsense
Below Minima? You would have to be a long way below minima not to be able to comply with the GA proceedure in terms of climb gradients and your speed would have to have decayed below VREF as VREF for you landing flap is V2 for the next stage GA Flap.
In circumstances where a high missed approach gradient is required your landing weights will be restricted as per your performance manual, in other words, you would also have to be over performance limited landing weight as well.
Quick look at Pan Ops 8168 might clear this up for you.
All in all, it would have had to be a complete mess up.
If you were trained to the same SOPs, what do they state..