Trying to understand time dilation better

[phyti]

Can we say that “only the average speed according to an IRF matters to the Time Dilation which determines the average value of the period assigned, in this IRF, to a relatively moving clock” (I assume all velocities are alongside the x-axis and that both the initial and final meeting points are collocated)?

Then the Differential Aging of both clocks at their second meeting point would depend on the difference between the average speed, across its journey, of each clock in respect to the same IRF (this difference being independent on the selected IRF, irrespective of the maximum speed reached by any of the clocks, of the number of direction changes alongside the x axis, of the magnitude of their accelerations and finally not directly dependent on their relative speed in respect to each other).

If you examine the expression for gamma, it is not linear but exponential, yeilding the familiar hyperbolic curve for time unit vs speed.

With respect to SR;
for distance: x = vt
dx/dt = v, increasing directly proportional to speed
for time: t = x/v
dt/dv = -x/v^2, decreasing inversely proportional to speed squared