OK. I gave the recording another look and listen. I heard "Live and Let Die" starting at 02:21:08 UTC. Looking at the waterfall, the audio of this song is definitely centered around the 6973 carrier of GZ, not the 6974.6 carrier. After "Live and Let Die", "All Apologies" immediately followed, so I am pretty sure, at least at this time, I am hearing the same station reported by Captain Slack.
BTW, Beerus reported the 6974.6 carrier here:
http://www.hfunderground.com/board/index.php/topic,8260.0.html He reported it on IRC at 2317z, and said it was quite strong, "smashing Israel pretty good".
Checking my IRC scrollback, I see that at 2342z I measured the carrier frequency of the mystery carrier (netSDR running with a GPS derived 10 MHz reference) and came up with 6974.624 kHz.
Checking the SDR recording again, at 0240z there was a song being sung by an OM. The language was not EE, and I would not characterize it as hard rock. So if others were hearing hard rock, then there was another station involved.
At around 0256z, GZ had an OM talking, so the sidebands were rather narrow. This gave me the opportunity to more carefully listen to the 6974.6 carrier. I could not hear any modulation. That carrier was much weaker than GZ, however, so it's possible I just wasn't able to hear any audio present.
I decided to look later, to when GZ faded out, to see what I could hear around 6974.6. However, that carrier faded out first at around 0429z, before GZ (which I believe implies it is further to the east of GZ). GZ's fadeout was more gradual, making it harder to identify, I would guess it at about 0530z. I think sunrise in Israel is about 0330z right now, I don't know how long it takes for the D layer to ionize enough to attenuate at 7 MHz. Maybe we can wave our hands and guess it was about 15 degrees further east of Israel? Fortunately it's the equinox now, and the day/night lines are all nice and north/south.
As of now, 2245z, I don't seem to hear or see the 6974.6 carrier.
I'm not sure if this helps any, or just confuses matters :-)