But they should be able to deduce that obviously they both cant be right. And the person who is stationary would have the best vantage point so his conclusion would have a lot more going for it. Hell he even deduces what he thinks the moving passagner will experience and he was right. Going by your video.
Still not following you on the whole "now" and "future" stuff. It doesnt even seem to fit into this discussion at all.
To put this whole thing plainly its all about percepetion as has been pointing out many times already.
Actually they both are right, you didn't watch the entire video, watch till the end. Stop thinking about a correct and incorrect frame of reference, they are both correct in their own frame of reference.
Best vantage point of what? His conclusion is no more correct than the person on the train. Why do you think that the person on the platform is correct and the person on the train is incorrect? When relativity states
"The laws of physics are the same for all observers in uniform motion relative to one another (principle of relativity).
The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the source of the light."
so on the train they are stationary in their own frame of reference. They are in the middle of the train light is moves at c from the front and back to the center of the train. Since they see the light at different times and they know light is moving at c. So they can calculate when each lightning strike hits and they will conclude that they happened at different times.
What you are saying is that relativity is incorrect, which is just wrong. Go learn about relativity, then come back to the discussion. Since you think you are correct you will just argue and argue since what I will say doesn't make sense to you.
I will try to make some simple points.
There are two frames of reference in this video the one from the platform, to the platform the train is moving. This is correct, what is also correct is that in the trains frame of reference the platform is moving. This is also correct. Movement is relative. It is easier to see if you have two spaceships.
Lets say you have two spaceships moving relative to each other. One space ships frame of reference is no better than the others. In one they see the other spaceship moving at some velocity. While in the other they see the opposite. Both are correct and both are equally real. In each frame of reference their own velocity is 0.