I believe the Lightning even had a data link where the ground controller could control the intercept via the link rather than R/T. We were target on one occasion where the link was down but the controller gave the computer directions by voice.
Yes, SLEWC and the Lightning had a data link mode, but it was never operationally used.
The software was still in use in 1975 when I was at Neatishead, but very rarely used. It need 2 controllers to do 4 simultaneous intercepts, whilst a single controller could easily do two; the software was so bad that that for a high speed target the software told you to go to M2 in the the opposite direction to get a 90nm separation before turning back towards the target - which you ignored and flew the "blip" to end up under the commanded position at the final turn.