Flyman35, Pugilistic Animus,
Aw shucks!

Now I'm embarrassed, there's a
GREAT many things that I don't know, Performance just happens to be my little niche. I avidly read other poster's comments on the great many things that I don't know.
rudderrudderrat, You stated (correctly)
".....once the aircraft was clean and MCT set, then all you have to do is climb in a safe holding area until you can definitely make the next MSA....."
The manoeuvre that you describe is otherwise known as the
4th Segment.

(Which is what this thread is all about).
After leaving the MSA "protected" area for continued flight to another airfield, another set of "En-Route" requirements apply.
POST SCRIPT
Just to reinforce the very wise comments made by TRUE professionals on this and other threads, any pilot who believes that he/she can safely follow the SID with an engine inoperative is a
BLOODY IDIOT!!!
(Please advise the airline that you fly for so that I can add it to the "no fly" list).
Regards,
Old Smokey