By the law of reciprocity if each station is running the same transmit power the received signal strength will be the same at each end fo the link.
I don't think that's necessarily true. It applies only if both directions' signals use exactly the path (not just the physical, 3D arc it travels, but the entirety of the electromagnetic environment it experiences on that arc). In practice, in the Earth's atmosphere, transmission paths are not always the same in both directions, sometimes not even throughout a transmission. If you really want to be pedantic, they may not even be the same in one direction through the length of a dah. Scatter and Auroral would be extreme examples. And even when both directions use the same path, the two paths aren't always "electromagnetically reciprocal". If my memory is correct, this non-reciprocity is even discussed in the current Gordon West prep book for the Extra exam.