No, FF, you are.
The obstacle clearance surfaces, either Part 77 or ICAO, are analysed for all engine performance. This is all there is, no matter what your performance is, or what you think it is..
This is all there is for a Part 77 certification on a runway.
Get with the program, NOTHING in the procedure design criteria addresses Engine Out, nothing.
If you really think that you have terrain and/or obstacle clearance Engine out based on either ICAO or Partt 77, ...you are fooling yourself.