The reason that fallacies exist is because there is underlying structure to arguments. For some arguments, its possible for every statement within the argument to be true, but for the conclusion to be false. The argument which you gave for skepticism toward the concept of ego is one such argument that exhibits structure level weakness. The fallacy label is argument from authority. Often this argument form is used despite it being fallacious, because authorities tend to be authorities for a reason. So using conclusions they derived, despite not sharing the logical backing which led them to their conclusion, can end up providing correct answers. In this case though, in addition to the flaws in argument form, some of the premises the argument is built upon are also untrue. Experts in the past aren't necessarily authorities on their subject matter thousands of years in the future and what someone teaches about doesn't reflect the full sum of their knowledge on a topic.

Seeing this lack of integrity in structure, I set out to provide counterexample which demonstrated the lack of integrity in the argument structure. In that sense, as inputs to the fallacious argument structure, both ego and the terms I gave are alike.

Both the terms I gave and the term ego were inputs to the argument structure, they can be categorized as inputs used in such a way, and they share that category with each other.