I'm with John on this, I've seen nothing on the Nightscreen music nor any idea what they used. That said, I can't remember ever tuning in. The only reference I can barely remember was on TCC and it said the compilations were about 25-30 mins long and anything after this they were repeated. However it was stored, suspect minidisc or DAT, it was repeated and no idea how many compilations there were. I uploaded a JobFinder re-creation earlier in the year on You Tube whereby the music used was mostly from Cavendish, KPM and Bruton.
Nightscreen is something I could look into when I've more time and have a look on YT.
Edit - In fact, the first one I looked at http$://www.youtube.com/watch?v=mAcrRmKAq38&ab_channel=SuperLegendary
confirmed that the compilation repeated itself after around 28 mins and just a link to the BMG website and someone has listed the tracks used and are from the Beds and Beats label, so could be found on the website from there. This comp is from 2021 so one of that later editions. I remember it briefly as teletext pages following the demise of JobFinder.