And let's consider that "inner strength". It is not the actual strength of the argument since that is what the logic-users would see and support. If the argument had outer strength, the baloney detectors would not have called it out in the first place. This "inner strength" is a feeling he gets from the argument. It is an emotional uplift. It is irrelevant to the actual strength of the argument.
When the baloney detectors are correct, they very well ought to be assertive, stubborn, and convinced of their own correctness. Why should they accept their opponent's views as fact after they have proved it insufficiently justified or logically false?
And yes, conversations can be multifaceted. I'm sorry to have to inform you that serious logical flaws and mistakes of fact in one facet of a multifaceted conversation do in fact invalidate that one facet of the conversation.
And please refrain from the insults, although it was nice to learn that I am both young and old at the same time, and also a racist.