I'm still having great difficulty understanding what the problem is as well. I suspect that he is having problems with one observer looking at the other observer's clock, and without bothering to correct for the finite speed of light, is confused that it shows a different time to the time on his clock. He would have a more extreme problem if he used speaking clocks (with no visible readout on them) and now he would be dealing with a signal propagating at ~330 m/s. And yet this is not something that falsifies SR.

It's a bit like glimpsing something out of the corner of your eye that looks interesting, but when you look at it properly it becomes somewhat dull.

As an aside, if RussT really has falsified SR, then that would also break GR. In turn, that would also ruin any discussion of the ring singularities of the Kerr solution that RussT used to be fond of.