Ive pretty much got the basics of both SR and GR time dilation.

There is a paradox involved with SR time dilation where each observer sees the other's clock as moving slower than its own. OK, fine so far. But is there a similar paradox with GR's gravitational time dilation? With 2 stationary observers under a gravitational field, where 1 observer was much closer, would each see the other's clock as moving slower?

My scenario doesn't involve rotation. Like say if one clock was on earth at the bottom of Mt everest, and the other was at the top.

But

this 2 page thread on physicsforums seems to say that rotation matters. Now I do realize how the two clocks are rotating at the same rate, but moving through actual space at different rates due to the rotation with different altitudes, like on the 2nd page there where the dual airplanes on the string was described. But I thought SR was only concerned with RELATIVE motion?