Fair question/comment. Others here can probably provide more and much better insight, but fwiw on my bench I have several devices that are locked to the GPSDO (you can see the cables connected to the distribution amp) and they don’t all agree to the same level as the GPSDO, 33522B, and the FA-2. Two other counters (HPs), an oscilloscope (Tektronix), a spectrum analyzer (HP), and a sig gen (Agilent) are also driven by the BG7TBL GPSDO but they are less well aligned - so it’s my experience that just because devices share a 10 MHz reference source they don’t necessarily measure a shared input (DUT) signal as having the same value.
I think the first big assumption is that the GPSDO’s 10 MHz ref is accurate. I don’t have a good way to know other than it seems to compare reasonably well to another (Star) GPSDO I occasionally use.
As for the FA-2 I think it agrees more closely with the 33522B than two HP counters I have. Given the pedigree and the cost of the 33522B (purchased new from Agilent/Keysight) I’m inclined to think it’s the most high quality piece of gear on my bench - but that’s just an impression. So with the 33522B as my “yardstick” but without being able to prove exactly what’s what, I’m leaning toward the BG7TBL GPSDO and FA-2 as being pretty (very) high bang for the buck devices.
Sort of in summary, after accumulating test gear over a period of about seven years I’m still a rookie compared to the pros here but I’m inclined to think/guess that a double oven GPSDO 10 MHz reference is likely to outperform the internal oscillators of most other gear (at least on my bench) and to the extent the other gear has a 10 MHz reference input not only is accuracy likely to be improved with the GPSDO 10 MHz reference but the synchronizing of the gear across the bench brings additional mental peace even if it’s a bit of a placebo

I’m not an official card carrying TEA and Volt/Time Nut member but I sort of aspire to be

YMMV
Edit: correction only 1 of the 2 HP counters has a 10 MHz ref input (and it is less aligned than the other HP counter but after a lengthy warm up it makes a reasonable showing); I’ve run lots of tests with and without the Ref inputs and I’m convinced the GPSDOs bring not just synchronicity but also improved accuracy - and in turn I’m convinced the FA-2 performs way beyond it’s price class. I think it’s all a big tribute to BG7TBL.