I just thought that my long explanation in these 7 posts, including the summary, might be a bit confusing; so I’m making another attempt to seal it with even terser summary. Here it is:
The illusion of time dilation is nothing more than Doppler effect: if two observers are moving away from each other, each of them will see the events from the other observer as happening slower, when they turn around and start moving to each other, the events/time of the other observer will seem to happen faster, and when they meet their theoretically precise clocks (not the atomic clocks also affected by the doppler effect – don’t start again on that “evidence” of time dilation) will show exactly the same time.
That’s all I wanted to say. It was good to get that out of my chest…