EOSID when to follow?

[captain_jeeves]

Emergency Turns, EOSID's, & GA's

I have a question for the Jury to deliberate.

First, a short preamble before I get to my question...

If cleared to depart from an airport via a specific SID, you fly that specific SID, UNLESS, you experience an engine loss. Then you would fly either:

The current SID,
An applicable EOSID,
Radar Vectors, or
Possibly, visually return if conditions would allow, and it was appropriate.

Similarly, if cleared to arrive at an airport, you may be cleared via a STAR, or any other means until established on an Instrument Approach Procedure.

Then, you would fly that Instrument approach procedure until either of two things happened:

A landing, or
A go-around.

If a go-around became necessary, you would - in the absence of an ATC instruction, etc - fly the published missed approach procedure…or would you?

(Assume a CAT I approach, and go-around from CAT I minimums)

Here’s the question…

If an EOSID existed for the runway you just missed on, and you suffered an engine failure during the Go-around, would you fly the published missed approach, or, would you fly the EOSID.


I know what I would do, but I’m curious what others may think or believe.