I think seeing the wild impedance swing on a very common IEM like Andromeda, it is very easy to see why something like a LID might be a great thing.
LID does not "correct" the output impedance of your DAPs, but rather makes a workaround for the impedance swing of your IEM. Due to the high output impedance of M15 balanced output, we have been discussing these and I have some posts on the FiiO M15 forum but as a summary it is:
"With a high output impedance amp, the headphones will get a little more gain as the impedance goes up. Therefore, you can think of the impedance curve as an EQ curve with high impedance amplifiers. The higher the amp output impedance, the more the headphones will be EQ'd toward the shape of the impedance curve."
https://www.innerfidelity.com/content/musings-headphone-amplifier-output-impedance
For example, the Andromeda (which some people find lacking bass and too bright) impedance curve looks like this:
As you see, it is not a constant impedance but a massive swing between 3 ohms and 25 ohms. 3 ohms is low even for modern DAPs (SP2000 has 1.5 ohm SE and 1.0 ohm balanced impedance). With a high impedance output DAP/amp, this curve will act like an EQ on your audio signal and you will hear a bright sounding Andromeda lacking bass, whereas someone with a very low impedance amp (Hugo or Mojo) the brightness will not be there and you will hear a more balanced sound.
Looking at the example plot on 64 Audio website (before after plot on the right) also confirms this. But as you see, the impedance swing is still there and as the average impedance now drops, the mild effects will be still effecting your audio signal but to a considerable lesser extent. But as you see, the impedance swing of an IEM could be pretty wild and, especially for a multi-driver or hybrid IEM LID can be pretty effective.
https://www.64audio.com/lid
Theoretically, ignoring any other inductance/capacitance effects, if your headphone/IEM has a constant impedance across the frequency band, your audio signal should not be affected by the output impedance of your source, other than just a drop in the signal level.
https://www.64audio.com/lid