No, the relativity of simultaneity (RoS) is not symmetrical like time dilation in the context of special relativity. Time dilation is a symmetrical effect that occurs due to the relative motion between two observers. According to special relativity, time appears to pass slower for a moving observer as observed by a stationary observer, and vice versa. This effect is mutual, meaning that both observers will perceive the other's time to be dilated.
On the other hand, the relativity of simultaneity is an asymmetrical effect that arises from the fact that the concept of "simultaneity" is relative in special relativity. In other words, events that appear simultaneous to one observer may not be simultaneous to another observer who is in relative motion. This is because the measurement of simultaneity depends on the observer's frame of reference and their relative motion.
To illustrate this, consider two observers, one stationary and the other moving relative to the stationary observer. If the stationary observer observes two events happening simultaneously, the moving observer will not perceive them as simultaneous due to the relativity of simultaneity. This means that the concept of "now" or "simultaneous events" is relative and depends on the observer's frame of reference.
In summary, while time dilation is a symmetrical effect, the relativity of simultaneity is an asymmetrical effect in the framework of special relativity.