The capacitance at the OP-amp output can act as a higher frequency filter, but of cause not as a low frequency filter. Wether calling it filter or buffer is just looking at the same thing in frequency or time domain.
Take a pen and calculate an impedance of the 10 uF capacitor for 10 Hz frequency, or 0.1 Hz Than compare output impedance of the OPA that tolerates capacitance and make a conclusion.
The fact is, there is no OPA that can be filttered just setting cap at the output no any voltage references. Output impedance ratio to cap's impedance is enormous, using R-C network is the only way. Test results talk to itself, don't be stupid
The results shown at the start are a bit misleading:
The case with no filter seems to also miss the high frequency filtering for the reference, that is standard and should not be skiped.
The case with the low frequency filter is not just about the filter, but about using the same source for the reference and input signal. With the same filtering for both paths reference noise is suppressed. This also works with way less filtering and does not proof the effectiveness of the filter. Test relativ short data window makes the test insensitive to the drift introduced by the filters.
The tests are done with a quite noisy reference. The alternative to excessive reference filtering that compromises stability is using a lower noise reference to start with.