I suppose sticking a radar which at the time was heavy and delicate into a large aircraft and using it to illuminate a target for a 'homing' fighter made a lot of sense. I guess.
But Turbinlite wasn't a radar - it was a big searchlight.
Airborne Radar in Blenheims & Beaufighters was already being used with some success before Turbinlite.
The obvious question is 'Why not dispense with the Hurricane & fit a cannon pack to the Boston?' Illuminate target & press gun button.