You raise a valid point. According to the principle of relativity, the time dilation effect is symmetric, meaning that time dilation occurs in both reference frames relative to each other.
In the scenario you described, where reference frame A is moving away from reference frame B with velocity V, from the perspective of A, B is indeed moving away from it with velocity -V. Therefore, time dilation would occur in reference frame A relative to B, and conversely, time dilation would also occur in reference frame B relative to A.
This symmetry of time dilation is a fundamental aspect of the theory of relativity. It implies that both observers in relative motion will measure the other observer's clock as running slower compared to their own clock. The degree of time dilation experienced by each observer depends on their relative velocity, as described by the time dilation equation.
So, in summary, time dilation is a reciprocal effect. If observer A perceives time to be dilated in observer B's frame, then observer B will also perceive time to be dilated in observer A's frame.