The explanation is exactly correct. Jorb has mentioned this before with other workstation bug issues. The character just visually moves. The location that they accessed the station from remains the same.
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Myeah, not a bug. The character technically is still in the position next to the grinder.
"The psychological trials of dwellers in the last times will be equal to the physical trials of the martyrs. In order to face these trials we must be living in a different world."