Record Deduction as Penalty?

There has been discussion recently at dcijudge-l and other places about the proper penalties in two-headed giant matches. In 2HG matches, only one game is played per match. This means that a Game Loss actually equals a Match Loss and this is considered too hard a penalty for many rules infractions that warrant the former.

This got me into thinking: What if we replace the current system of Game/Match Losses with a deduction of points from the player's or team's current tournament record? A Game Loss could equal a deduction of one point, while a Match Loss would mean a deduction of three points. Such a system has several advantages, but also disadvantages.

Advantages:

Disadvantages:

I think that some of the disadvantages could be solved by "falling back" to the old system in situations where this is necessary.

I am not sure whether such a system is feasible, but it's at least an interesting thought experiment.