Took me a little while, but I figured it out a few months ago, there's another thread where I went through the details.
If you have an SDR with a waterfall display, it becomes obvious - 6970 vanishes (and appears) exactly with 6875.
I was also burned a while back by something on 6925 that turned out to be another US SWBC station, WWRB I think? The one in Nashville.
My suspicion is that there's something at the WWCR transmitter site acting as a rectifier, allowing the two signals to mix. Maybe a rusty fence. If only we could convince the FCC that it was an antenna tower with peeling paint, they'd get right on it!