when it is cold lifting does not take place, in fact the rev limiter acts at 7k rpm.
But this happens to me when the engine temp is good.
Let me repeat my experience maybe i say it easier.
If i go to have a drag race., i find that lift acts at about 5k5-5k8, then one on the lift, i keep it lifted cos i shift quick enough to just drop the revs from 8k to 6k.
When i am driving calmly with the 3rd gear and then decides to kick in some power the lift acts at 6k5 or even 6k8. I have seen some videos in the Racing forum and his celica did lift later cos he did not have a fierce start.