If you are able (performance-wise) to follow the normal SID and the required climb profile it is advisable to fly that since ATC does not know your EOSID - if that is not possible obviously you can only fly the EOSID. Same thing really in case of a missed approach - if that requires more performance than your airplane can deliver N-1 it is a good idea to fly the EOSID instead (preferrably you inform ATC beforehand what you will do in case of a missed approach).