Relativistic time dilation defectively ignores additional elapsed time between relative observers exchanging information for relative time dilation:

[Author ORCID: 0000-0003-1871-7803]

When two observers in relative motion, or in gravitational potential difference, interact or exchange information of time dilation, there can be a difference in the elapsed time between them due to both time dilation and any additional time that elapses during the interaction. The total elapsed time between the observers will indeed consist of the actual time dilation effect as well as the additional time that elapses during the interaction. The both equations of time dilation are incomplete, and they appear deffective.

The equations for time dilation alone may not fully capture the complete picture when two observers in relative motion or experiencing different gravitational potentials interact or exchange information.

In such scenarios, the total elapsed time between the observers will indeed consist of both the actual time dilation effect and any additional time that elapses during the interaction. The interaction itself can introduce delays or processes that affect the measured elapsed time.

To accurately account for both aspects, a more comprehensive analysis would need to consider the specific details of the interaction, including factors such as signal propagation delays, synchronization procedures, or any other processes involved.