There are two observers who are in relative motion. Common view says that each observer observes time dilation of the other observer.

On the other hand, it's said that an atomic clock loaded into a jumbo jet plane showed time dilation. Above two (supposed ; both are true) will be different phenomenon. But none seems to point out it.

[A Version of Jumbo Jet Experiment]
Near the north pole (spot N), there are some atom clocks. Now, half of these are moved to a spot near the equator (spot E). And after adequate time, the other half are moved also to the spot E. It will be more easy than "The Jumbo Jet Plane Experiment" (But i have never heard that according to latitude, time gains or loses).

i have never heard that according to latitude, time gains or loses. A common view says that by gravity or accelerated motion, time loses. It's doubtful.

SRT is talking about one observer and one light clock only (and is silent about two observers and two light clocks). On the other hand, SRT is talking that in every inertial frame, physical phenomenon is the same.

There are two passenger cars. Each of these loads an observer, a light clock, and an atomic clock. Both are moving in a shuttle motion (exact opposite ; when one moves to the east, the other moves to the west). Motion of the both will be symmetrical.

《P.S.》 There are many space ships. These are moving in the Brawnian motion like. Time dilation seems to be unimaginable.