I recall the same or perhaps a similar incident at Wyton, probably around 1979, when an F15 with an engine problem saw the runway and assumed it was Alconbury. The one thing that sticks in my mind was the highly excited state of the SATCO.
When Wyton was on Rwy 27, Alconbury had to be on 30 and the same with 09–12. From what I recall Wyton only had a visual circuit on Rwy 27 RH, all Alconbury aircraft came in for a straight in approach either GCA or TACAN to visual. Wyton couldn’t release aircraft to depart with Alconbury traffic within 10 miles to land.
Had some fun times over at Alconbury, but don’t mention “Corby Commandos.”