Hi,
I am talking about my previous employer on A319 the EOSID for 26L was straight 1700ft then left to MID to hold or on 08R would be straight ahead 1700ft to DET...
We had instances for say in EDI where on 24 the EOSID was climb straight ahead at 1500aal left to EDN ie 180 turn back towards to airfield...
Clearly during the TO brief most people would say climb straight ahead in the event of engine failure...
As I said for an Emergency Turn, the story would be somewhat different...