An EOSID assumes the worst possible conditions at take off (i.e. high temperature, Max take off weight etc.). Therefore an EOSID can always be used as a missed approach with a single engine.
Not quite the case. Configuration and configuration change, speed delta and height loss (?) / distance to get to a suitable comparison configuration and speed. Can get to be an involved analysis and, generally, not addressed in AFM data so it's back to basics and some simple flight test number work.