I don't think you understand what I've said. Every single saiyan on Planet vegeta had to rely on a scouter in order to sense/measure ki.
I know that, but Takao Koyama said that Broly could sense ki so he could be an exception, he can sense ki without a scouter because he never wore one and was not in the Frieza force. That's what I'm talking about. If you are not taking into account what Mr Koyama says then it's fine, I'm not forcing you, but I do take his words into account and that's why I pointed it out.
Broly has never seen Goku face to face and Goku's ki was particularly pitiful as a baby with the only noticeable discomfort that Broly had towards him was due to his crying. Crying that Broly would have no way of discerning was coming from Son Goku since he was literally in a seperate crib away from him and not visible to him.
I get what you are saying but the presence (ki) of someone is specific to one person so it can be recognizable, it could be instinctively or sub-consciously, I don't see the problem here. He does not have to know that it was specifically Goku who was next to him when he was a baby, he automatically sensed something about Goku that triggered his traumas. When he is around Goku something starts to disturb him, Broly might not even know himself the reason why he feels like that around Goku, but he feels discomfort whenever he is nearby and since Goku makes him feel bad he hates that feeling so he hates Goku's presence. In Broly's point of view, he might not know that Goku was the crying baby next to him because I've never heard Broly saying something about knowing that Goku was the baby next to him. And the flashback is addressed to the spectators so maybe in Broly's POV he just hears some random baby crying and he unconsciously associates it with the pain he felt when he got stabbed etc which is triggered by Goku's presence. Briefly, he automatically feels something off when he is around Goku but he might not know who Goku is and why he feels like that whenever is close to him, he just feels it and that's pretty much it.
I've never heard babies have severe trauma from a brief instance of other infants crying in their vicinity. Broly's trauma is more directly tied to someone trying to murder him twice. Both of these instances have nothing to do with goku and it's illogical to try and tie it towards him. Broly has a much better time sensing other saiyan babies kis, caretakers in the facility that looked over saiyan infants compared to goku.
I don't know about all the traumas possible in the world so I can't reply to that. Whether it makes sense or not, that's what the scenarist decided. It's free to anyone to find it illogical, senseless, but we can't deny facts just because it does not make sense to us. I'm not here to change your mind. I just posted these informations for anyone who wanted to learn the truth.
It would make more sense of broly having PTSD from Vegeta's face for 2 reasons:
1. When king vegeta stabbed broly he brought him up close to eye level with broly's face directly in his line of sight
2. Vegeta and his father have similar facial eatures. So much so that Paragus noted vegeta to be the spitting image of his father.
It's fair and understandable.