" Whether Oswald was acting "suspicious" or not doesn't really make any difference."
Oswald?? How do you know that the man that Brewer saw "acting suspicious" was the same man that Old Mc Donald socked in the Theater? Brewer didn't see the man enter the theater, so why do you assume that the man did enter the theater, and that man was Lee Oswald?
Sitting quietly in his seat and watching the police questioning other patrons in the theater, is suspicious activity...
We are going to need more tin foil. This is going to the bottom of the rabbit hole. Oswald was arrested in the Texas Theatre. So he must have entered it. Good grief. Brewer confirmed that Oswald was the guy who was acting suspiciously. Again, though, it makes no difference as to Oswald's guilt whether he was acting suspiciously or even, as you crazily suggest, was not the person Brewer was following. The only importance of Brewer is that he directed the police to the location where Oswald was apprehended. Oswald was sitting quietly in his seat? When they approached him, instead of just asking what was going on and cooperating like everyone else, he draws his gun and engages in a struggle.