I just turned in a Blacktip Shark. Sadly I wasn't first.
However, I can confirm that the consolation quest "Better Luck Next Time" does give some Kalu'ak rep. Very little though: it was 172 for me, and thats with +5% from a guild perk, and using a human character.
My Kalu'ak rep was at 0 in the Neutral section before this. I doubt there would have been more rep gained from this if I had been in a different rep category but I'm putting this here in case.
If the rep bonuses work together like I think they do (i.e. totalling 15%), that'd mean the regular rep gain is 150.
172 ÷ 1.15 = 149.5652....
so I checked
150 x 1.15 and got 172.5. So I think my calculation works.
The consolation quest "Better Luck Next Time" for turning in a Blacktip Shark after someone else wins gives 150 Kalu'ak rep.