I have to agree with the opinion of several posters above; were is the problem in flying a missed approach from a higher altitude than minimums? Just fly the airplane and if the automatics are not appropriate in the given situation or do not perform as desired just fly the maneuver manually.
The one reason I can think of to always set TOGA power or press the G/A button (or whatever it is called in the aircraft type you fly) would be, that on many types it triggers the correct FMA modes and sequences the flightplan. On some types below certain altitudes (MD11 e.g.) you would not be able to leave the approach mode without pushing the G/A button. So pressing the G/A button would give you FD indications for the missed approach and both vertical and lateral guidance. However if you are going around from an altitude close to the missed approach altitude the pitch bar of the FD will of course (initially) command a pitch leading to a very high V/S, which is not desirable in such a situation.
In such a case I'd just push the button and if the G/A altitude is close just take over manually and fly the missed approach (or at least the initial part) by hand. At least the roll bar of the FD would be helpful then.
No brainer me thinks

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Happy new year everyone,
DBate