state-of-the-art birds that track LNAV while rolling and are ready to engage runway track on lift off
Now do these use the autopilot to perform the takeoff or does Capt Pilot still do the initial bit ? If so, then we still have the problem of tracking integrity during a critical failure prior to autopilot engagement.
it is a bad airport, indeed, that has that type of close-in obstacle environment just beyond 300 feet each side of the DER.
.. and places where the runway points through a close in saddle or has an isolated close in hill feature with surrounding terrain necessitating an early turn either inside or around the hill ... not at all rare.