I believe it is from what is called a Collar Clash. It happens when a misaligned hammer die repeatedly hits the collar die enough to wear grooves in it. Then those marks/lines are transferred to the coin metal during the strike.
Would that then be a counter collar clash. The die first being clashed against the collar and then subsequently transferring it to the coin?
I am not sure what you mean by the use of word counter, and do not think it is necessary to convey to other people the idea of what has happened to the coin. It really is no different than what is considered a regular Die Clash as two of the three dies clash and then any "clash marks" are transferred to the coin.