AS I recall the output to feedback point needs to a a fixed voltage. and feedback to ground is the actual noise or DC error feedback source.
Fixed regulators have the feedback point grounded hence do that already with fixed.
Ratiometric designs need to have that voltage drop maintained constant from pin 2 to 3 on 3 terminal regulators and at the low impedance over the operating frequency response range helps maintain this reference..
The impedance with respect to ground then becomes a voltage feedback since the feedback cap is in series with the output to ground capacitance, the output ripple is passed directly to the feedback while the DC gain is determined by the R Ratio.
Since adjustment inout current is small the equivalent input impedance is relatively high so CR high pass phase shift is fairly small.
This reduces noise amplification by 100% feedback, but is of course sensitive to ground spikes so low ESR copper ground feed is wise.
Output Cap to ground ESR is important on some LDO regulators if their drive current is lower raising driver ESR, so ESR on these regulators is often specified as 0.1Ω min to 1Ω max. to prevent overshoot stability issues near unity gain.
I believe the rule of thumb for overshoot stability is the ESR of the output cap should not be lower than the ESR of the regulator due to load regulation. ( ∂V/∂I ~ ESR of reg output)