Mind you, the only times I have gotten disconnected from overflow were from executing too many console commands.
I'm having trouble creating an example, but if the damagelog somehow makes the clients execute console commands for each line(or makes them send some request to the server), then that could be related...
Like, it was always a case of the client sending a bunch of stuff to the server that triggered the overflow disconnect for me, even on a singleplayer server, never the other way around.