A team kill is just the result of the insane amount of team wounding. With so many careless swings all around team kills are just a question of luck or timing.
I maybe the only one of that opinion, but I do not believe the tk itself to be such a problem. More often than not, I see 3/4 of my hp taken away by an ally to simply die to an enemy. Punishing team kills only will certainly not change the behavior of most players.
How many times I have been hit by an ally to be stunned and then killed. I am not myself a fan of the tincan and when a horse blatantly go through me at full speed and take away 1/4 of my hp it is more annoying than any team killed I've been a victim of.
The game is also not perfect, a team kill at the end of the round because of the equip screen should not penalize someone, this will only add another layer of frustration. At the very least, that should not be included in whatever penalty system.
I am of the opinion that the admin indeed do their job, as some of us in ATS know so very well.