This is my personal take, not authorized or anything.
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.
If you assume go around with a single engine at the time that results in the aircraft being at the lowest possible altitude i.e. in the flare with a bounce, then once you are airborne it is esentially as though you have rotated at the start of the runway. If the EOSID can cater for you taking off at the DER with single engine and the worst conditions it can cater for any condition similar or better than that. Just ensure acceleration is done at the same alt as you would do on single engine take off.