... not quite.
BFL is fine and a convenient, simple way to do runway sums .. but takes no note of obstacles.
Each takeoff, whether full length or from an intersection, must be reviewed against ALL the requirements (WAT, TOR, TOD, ASD - AEO and OEI, obstacle clearance, etc).
Just because you can schedule a departure for a 12000 ft full length runway at a certain weight .. which just happens to require a TODA of 6000 ft ... certainly DOES NOT necessarily mean that you can takeoff at the same weight from a 10000 ft intersection .. unless you redo the sums and nothing is sufficiently critical to compromise the proposed takeoff.
Routinely departing full length is nice for the pilot but, at the end of the day, the operator is there to make a dollar ... and the use of intersections is part of the dollar maximising equation... so long as the operator uses competent ops engineers who do the sums for each scheduled RTOW page ....