It just seems to defy logic.
Thinking an alien could travel into the past and possibly see dinosaurs roaming the earth.
Nobody has said that. There is no traveling into the past. But think if it like this. If you have a star that is 4 ly away from us, it takes 4 years (in our frame) for light to get from that star to us. So, the light we are seeing now started out from that star 4 years ago. So, when we look at that star, we are seeing what happened 4 years ago (in our frame).
If the star is 30 million light years away (in our frame), then the light takes 30 million years to make the journey (in our frame) and so the light we see now started out 30 million years ago (in our frame), so we are now seeing what happened 30 million years ago (in our frame).
Thinking that actual physical distances become 0, so that 8 light minutes = 30 million light years.
The 'actual physical distance' depends on the frame. Nobody said that 8 light minutes is the same as 30 million light years *in the same frame*. But you have to be careful in switching frames. You have to be careful to distinguish clock time and proper time.
Using a frame of reference to try to prove something, but then saying that frame doesn't really exist.
Admittedly shady. It's better to avoid such imaginary frames. But, we can still talk about proper time and ALL reference frames agree on that value. i t's just not the same as clock time.
Noticing that it takes light 8m and 20s to get here from the sun, but yet believing it doesn't experience any time.
Or that it takes 8 minutes in one frame and 1 second in another.
Seeing that in every valid reference frame, to an observer it took the photon twice as long to go twice the distance. Surely it shows the photon experienced a time difference using that reference frame.
Only and when you talk about what the photon 'experiences', that doesn't correspond to any reference frame.