For instance, Hobart 30 (AUS) has an early turn to avoid tiger country. It used to be SOP to do this for all 30 departures as the OEI escape followed this procedure. I imagine the present operators still do the same as the payload penalties running straight out would be uneconomic ..
Thread drift but I know at least one major operator runs straight out even in their OEI procedure. The pitt water departure requires VMC to 1000' but all the other SIDs remain on R-300.
To keep the splay inside of Mt Lord and the terrain there the V2 needs to be kept below about 155KTAS.
Back to the thread, if turns were not allowed below 400', then OEI most aircraft would have to go straight for quite some distance! On paper at least