It's wagging the dog, Alexandre. The outcomes show that matter behaves differently when placed in different spatial contexts. Matter behaves differently, not time.

The results are real; yet the explanation the opposite of what the answer should have been.

Take Rubin's Vase:

A: It's a Vase, or

B: It's Two Faces.

With Rubin's Vase, the purpose is to show that there are two options available to us when we reach the two-dimensional level. With time dilation, we are definitively at that 2D level because we have very little data on our hands.

The mistake occurs when people follow their brain's natural inclination to pick one over the other. If they pick the right one? Perfect. But if they pick the wrong one? No one will be able to tell it is the wrong one.

Our brains have to work harder to figure out what is going on when there is very limited data. If it gets stuck on accepting the first thing that comes to mind, then it can pick the wrong one. Entire schools of physics can pick the wrong answer.

The clocks that were moved into space and came back with a different time on their displays?

The matter the clocks were based on dilated.

Not time.

Have the dog wag its tail, Alexandre. Make sure you don't wag the dog.

It is not the first time that all physicists were mistaken.