All this debate underlines the absolute necessity to brief thoroughly your intentions in the event of a missed approach.
FWIW our current sim check involves an ILS to circ minima then circle to land on the reciprocal. After much navel contemplation, I deduced that the procedure for a G/A should be the published G/A for the ILS (non landing) runway until turning final, then, if necessary, make an appropriate turn to pick up the published G/A for the ILS runway. This turn direction (left or right) is, of course, dictated by local considerations such as terrain, control zone boundaries and the like. This demands that you have thoroughly thought out the intended operation, probably one of the main points of the sim profile, I guess.