Different views of the 2 MHz signal. I measured with a E4406A which can show IQ (down converted to DC) signal. This will show instantaneous phase versus time.
The first view is polar. The signal is not drifting in frequency, but the phase is varying several degrees. If the signal was perfect, the plot would be a dot on the graph. If the signal was drifting in frequency, the data would be constantly rotating around a circle (which it isn't). It's jittering back and forth a small degree. This is the same as the spread seen in the oscilloscope persitence picture of the time waveform.
In the polar plot, I is the x axis, and Q is the y axis. The amplitude is SQR(I^2+Q^2). The second view is I and Q versus time. The amplitude is staying constant, but the phase makes a jump about every 2.476msec. Looking at the next view, it shows that occasionally there is a double jump, which I found highly unexpected. The double jumps aren't all the same.
A spectral plot show something at 403.909Hz. this is the phase jump frequency. Why this frequency (or time)
I didn't look at other output frequencies to see if this changed. I might later.
Anyway... That's what my ublox 7M does when programmed for 2 MHz output.
I'm using one of my GPSDOs as the reference for the E4406A. If I measure the other GPSDO, it shows a pretty much a dot on the polar axis. It isn't perfect. There's a small about of phase noise. See views of GPSDO 10 MHz waveform (referenced to the other GPSDO). I measured the GPSDO first to see if it was a suitable reference for this test. If I had seen jitter, I would have had to use a different kind of reference (like OCXO) which centainly would have a frequency offset, but I still could have seen the phase jumps. That's the thing with measuring this kind of stuff. You've got to have a reference to base it against. That's why time nuts can go crazy. You're always wondering if your best reference is good (because you don't have a better one to measure against). At least with GPS the long term stability is based on a bunch of expensive government hardware that wasn't bought on eBay.
I still find your project interesting, but we should find a different acronyn for it. When people asked if it's a GPSDO... well... it is sort of, but the time constant is like 2.5msec instead of 1000sec. (only 5 orders of magnitude different).
RFDO (really fast disciplined oscillator)
JDO (jitter disciplined oscillator)
ILTAOALAGKSINS (inexpensive long term accuracy oscillator as long as the government keeps cesium in the sky)