The reason for the apparently "late" turn is because the sim is in America.
Seriously though, in the US you will find that there is a DME in the middle of the airfield and the distance is measured from there. In the UK (and Europe?), you will find that the ILS/DME is configured to read 0 from the airfield boundary.
Thus, the exact same place is 3nm from the centre of the airfield (US settings) and only 2.6nm from the end of the runway (UK settings).
We had exactly the same discussion about an apparently late turn for a SID out of STN when in a simulator in the US.
PS. I get to notice these things because my wings rotate and I am going a bit slower.