I Simultaneity of accelerated clocks

[PeterDonis]

At the end of 'proper acceleration' process, the two clocks will be 'at rest' w.r.t. the inertial frame in which they have the same velocity w.r.t the original rest frame

Yes, that is stipulated in the scenario. Note that it requires that, according to the original inertial frame, the clocks stop accelerating at different times.

 

[cianfa72]

Note that it requires that, according to the original inertial frame, the clocks stop accelerating at different times.

Yes, my 'envision' of this is to image a full 'grid' of standard clocks at rest and Einstein synchronized in the original inertial frame. According this 'set' of standard clocks, the two accelerating clocks stop at different times (as shown by the clock spatially near the event in which each accelerating clock stop).