The amount of extra storage would be trivial in relation to all the other stats which are stored. Also, it would really only need to be stored for as long as a tournament in taking place. After this, it is not of much use.
(As well as tiebreakers it appears that your best scores on CCTH holes are all recorded just now anyway)
I think I'm right in saying that when you challenge other players to beat your score, the scorecards are both presented at the end of the round ?
I would also be extremely keen to see this on CTTH tourneys... i.e. hovering over different players on the leader board would allow you to check their scores on each hole.