We must not confuse approach climb gradient requirements with obstacle clearance for the missed approach procedure!
Spot on!
If you go-around from an approach, your initial point of N-1 is located in a very different location, rendering the procedure completely incorrect.
An example.
EO escape route says: " climb to 1800 ft. agl. Then, turn right inbound ROS VOR"
if following this procedure from the approach phase, and from already an airborne altitude, your turn will obviously MUCH earlier, taking you potentially into terrain or other conflict zones that the procedure is specifially avoiding.
That's why EO procedures should be geometric in terms of distance. At least in my company they are indeed like this