I cannot recall not being allowed to used fast track at OSL because I was flying LH, or even DY for that matter...But I have to admit I never fly the early Monday mornings - late Friday evenings flights. So there has never been any sort of queueing whenever I got to use it. But I used it at least 20 times last year...
The only time I almost could not get through was while flying SK in Eco and the girl said : "Business only". Was fixed within 5 sec of course but still...
I flew BA 2 weeks ago but the whole airport was empty so I didn't bother trying.
OT: Not once had the people at Fast track bags for the liquids..they always need to go ask their colleagues at the other security check points