Let $S$ and $S'$ be two frames, moving with velocity $V$ relative to each other. Treat $S$ as a stationary frame, then $S'$ moves away with velocity $V$. Let $\gamma = 7$ so that $\Delta t = 7\Delta t'$. Does this mean that if there are exact clocks in each frame and observers in $S$ establish a video conference call with observers in $S'$, then the clock in $S'$ will show time moving seven times slower?
I don't think that's going to be the case because we can treat things the other way around by taking $S'$ as stationary.
But then, what about time dilation? How should it happen in this case? Will clocks in $S$ and $S'$ differ at all?