Unfortunately, if your diff whines, you have worn the CWP. Filling the diff nearly full is just asking for oil to come out of the ends and weep onto your brake shoes..the oil seals will be overcome. It is hard cornering with hot, thin oil that kills them, the CWP is under full load at a time that there is no oil on it (it will have sloshed over the baffles which then prevent it running back into the centre of the diff), so you end up running around the track with diff arms full of oil and very little where it's needed.
I would suggest that you run the diff as you are Marc but empty it, refill to the level plug, plus another 750 ml ish (no more though for the reasons above) and see if it is fine.
Incidentally, sprints don't seem to hurt these diffs so much, because it is the repeated cornering on the tracks that is the killer, you have enough oil for the odd slop over the baffles not to hurt, and it may not heat up as much. Oil will slowly seep back from the baffles, but it will take minutes, not milliseconds! by which time you are another lap or two around Brand's!