I would never want this.
Time trail puts everyone on exactly the same rubbered in state of track and other conditions.
In a race you will probably be able to set faster laps due to drafting etc so this is completely unfair. Also the track conditions will be different for every single session there is so times would be worth nothing at all.
Personally i prefer my fastest time being recorded automatically for my own records in whatever condition race tt practice I really hated this in pcars 1 that there was no stats, in regards to a leaderboard i believe in restrictions.