I can manage to make these values in to parameters, but I've not yet found a way to externally workout the flux linkage and the d q inductance difference for a specific motor.
BMW E91 2006
ZombieVerter
GS450h
Outlander Charger DC/DC
Renault Kangoo 36kWh battery
FOCCCI CCS
"The only configuration parameter needed is the Lq-Ld difference which determines how "tilted" the MTPA trajectory is. Torque increase depends on Ldiff and flux linkage, in a motor with high saliency it can yield a 40+% torque increase (nissan leaf motor) and the % gets bigger with more amps." Some bold claims.
BMW E91 2006
ZombieVerter
GS450h
Outlander Charger DC/DC
Renault Kangoo 36kWh battery
FOCCCI CCS
Also found this paper that at least acknowledges the issue of phase delay between current and position measurement. Doesn't present a solution though...