They are not recorded as team points, they are recorded as individual points in your server wide ranking in the competition for bonus ranking points. Fellowships have a cooperative ranking which is the sum of all current members individual points.
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And lets be honest. There aren't many players who leave a fellowship solely because of one Tournament where they got a lot of points and others didn't. Generally it's a pattern, and/or compounded by other actions. Why should a player be forced to leave a parting gift to the team they are forced to abandon in frustration? In what way is that "fair"?
While I concur that the points are recorded in the individual's record, since they are also shown, "in total" as the tournament progresses, how is it known that they are not recorded as team points as well? You say they are not, but only supply some implied reasoning which, in itself, is weak. Yes, they might follow the process of which you speak and be constantly adding up the individual score. Or they may be adding it up all the time and recording it as a team score but using the last entry for the rewards. In any case, since they are adding up the scores as they go it would be a simple thing to record them as they rise -- always recording the next amount only if it is more than the previous. Once this is done the rewards could be distributed to the remaining teammates. Not a lot of coding and just as fair.
You ask: '"Why should a player be forced to leave a parting gift to the team they are forced to abandon in frustration? In what way is that "fair"?' is answered by the assumption that the that the points belong to both the individual and to the fellowship. A player on the court scores a basket, then leaves the game. He/she scored as a member of a team even if the effort was entirely his/her own. The points are part of the team score and receive rewards based upon the team score. The basket is recorded as points scored by the efforts of the player, and he/she is rewarded for that as well. The dual nature of the points in a team sport is pretty clear. If you say those points are strictly the property of the individual why are there any team rewards at all? When the points are scored the player is part of the fellowship and thus, whatever contribution, great or small, the fellowship has made to his/her scoring those points, is part of the relationship between the player and his/her fellowship. That is why, even if the player thinks the fs hasn't done the job he/she thinks they should have done, the fs should keep the points. And that, like all team sports, is fair.
But you are also right that it's probably not something that affects many fellowships or players. Indeed, my experience is that it's pretty rare that anybody leaves the fs before it's over, and fewer even than that, that they are kicked. So, in the end, it may not be worth the effort.
AJ