Thesuggested noise test with 25 ohms resistor at the input is a bit dubious: With added resistance there is also more effect of current noise. Also requiring less than doubling with the resistor suggest this is a test for the input current noise. Having the noise current of a 25 Ohms resistor is more like a bad sign and high noise current.
The schematics does not suggest really low noise: in addition to the Ad8221, there are 2 resistors of 1 K each (likely for over voltage protection). These alone would contribute quite a bit of noise. With the given circuit they can not reach the claimed noise - not even the same ball park. It may need much more filtering (100 seconds time constant).

The 2 resistor should result in some 600 pV_RMS (some 3.6 nV_PP) alone for the suggested bandwidth of some 0.06 Hz.
Maybe there is addition preamplifier for the nV ranges, not shown.