For those who don't play video games, there's a growing trend in the industry called "Microtransactions" - a small fee the player can pay for certain things in game. Usually something small, such as a cosmetic item to change the color of their equipment, or a fancy Mount to ride on. Usually, these convey no actual benefit to the player aside from looking cool and unique. But there are games that abuse this (especially on mobile devices) where you can pay for convenience; get experience faster, objectively better items or other advantages, pay now for extra Lives or whatever.
Having defined that term, I had a discussion recently about the trend of Microtransactions and how so long as a game doesn't implement them in a manner that gives paying players an objective advantage over other players I think they're perfectly fine. I cited a game as an example of one that I was told implements these microtransactions unfairly, and I was apparently misinformed.
The other person in the discussion then went on a tangent about how the example game is totally fine and how wrong I was, completely ignoring my initial statement that the discussion is actually about and discrediting everything I said because of a poor example.
Is there a phrase, term, or something to describe the train of thought where a person "pokes holes" in a specific example and overlooks the greater picture like this?