So why such a low input impedance then?
Genuine question.
If I add input buffer for each input I would need 3 extra high performance opamps. Where I only have one now in the device. Or I have to increase the pot resistance which will affect noise performance after attenuation. At -6dB attenuation point 2.5k pot will have 625ohm equivalent noise resistance. I wouldn't accept higher than that.
2k - 2.5k is not really low impedance in the sense of actual engineering. Opamps can drive 600ohm even 300ohm for decades. At level of 2-2.5V is even less of an issue.
There are also components of noises that are low energy current sources. High input resistance will let these noises into the system. Often people use 1kohm to cure this, 2-2.5k ohm is a good compromise point.
This is also ridiculous since people are only seeing this because it's showing as an input. Internally in many DAC's output stage the equivalent input impedance would be around 1kohm or even lower in a low noise design.
The low impedance can cause issue if the output of the DAC is capacitor coupled with low capacitance value like 2.2u or 1uF. Or transformer output (may or may not). Resistive output impedance only would have a bit of attenuation which is a non issue unless the output impedance is way too high.