Meno & Doing My Best,
From the reference point of the man standing in the middle of the train, he is standing still. Yet the strike that hit the front of the train still reaches his eyes first, even though it traveled the same distance at the same speed at the strike that hit the back. The only explanation for this is that the strike that hit the front of the train happened first. In the reference frame of train man the strikes were not simultaneous.
From the perspective of the guy on the platform HE (platform man) is standing still, therefore if he measures the strikes he will see that the light from the strikes both traveled the same distance at the same speed and hit his eyes at the same time. The only explanation for this would be that the strikes were simultaneous.
Both Platform Man and Train Man will agree that the light from the bolt that hit the front of the train hit Train man’s eyes first, they will just disagree on the reason: Train man will say it is because the bolt in the front of the train happened first and Platform man will say it’s because train man was moving forward.