This debate happens all the time. Not specifically about counterspelling counterspells, but where some aspect of the game (really any RPG) just feels
wrong to somebody, but instead of just saying, "I don't like that part of the game" the person feels a need to rationalize it as objectively wrong.
I actually kind of also dislike counterspelling counterspells, aesthetically. I don't need to insist that it breaks the fiction to be comfortable with disliking it. I don't (currently) ban it with a houserule, but if WotC changed the official rules to do so I would approve.
...and I can easily imagine a scene where one character tries to cast fireball, a second character counterspells it, and a third character (or even the first character?) counterspells the second character. No problem. As
@hawkeyefan says, the fiction isn't bound by the game structure.