If this system is supposed to replace the current one. It's actually a better system however, I would suggest to create an exception statement for players inside the flag room of towers.
In addition to the system that is explained in the screenshot, after getting warped three times (which are basically three warnings) then the system that makes kills not count for killing the same player multiple times should be activated. This should apply
Only inside towers.
However, outside towers if the player got warped once and kept on killing the same person then his kills should stop counting. One warning is enough outside towers.
I'm not sure how many times do you have to kill the same player multiple times but depending on that is the amount of times the player is supposed to get warped till his kills stop counting.
It's very important to disable the system I suggested inside flag rooms of towers, because nobody boosts there so there is no point having that system activated there.