If one withholds logic and reasonable deduction for some preferred dogmatic approach to something another person says as if it were biblical scripture and the players/coaches were prophets themselves (Babcock 3:16? Rafalski 12:2?), you're absolutely right.
I often trust the judgment of these people, but to presume that they are correct and not just catering to the people who keep them employed and well-paid as any smart entertainer would do, you would have to assume that:
The Wings had little to no momentum going into the Bert fight, and that it was the Coyotes who had it. A momentum "swing" means a complete shift of momentum.
Now, if you watched the game, or even read the GDT, you would know this is not true. It's not that they are "liars". They certainly could have fed off of the fight to gain more energy and momentum, it was just obvious that there was no momentum swing because the Red Wings already had momentum, quite a substantial amount of it, going into the fight.
Fights that are used to swing momentum tend to come from a score where the team needing the momentum swing is actually losing. In a game where the supposed team necessitating a momentum swing just scored a goal to tie the game, and momentum is already established in their favour, why would they need a fight to swing any momentum at all? If anything, a swing of momentum at that time would favour the Coyotes, not the Red Wings. Ironically, this is why one would ***** at a player for fighting an opponent while their team was winning due to this "momentum shift" theory surrounding fighting. I guess this conveniently will be ignored.
At this point you just sound like a child who keeps repeating "Nuh-Uh!" over and over even though they know they are wrong. I don't really care if you believe it or not.
Even when the actual players and coaches themselves say that fights spark the team to win and definitely swings momentum their way people STILL don't want to believe it. Regardless of the fact that we as viewers can actually see it happening. But hey, they are all just lying to make the fans happy right?