I guess the reason Andy Simpson took heat was because there was a lot of BS in the presentation of his microphone.Simpson website went out around 2016: https://web.archive.org/web/20120712235539/http://www.simpsonmicrophones.com/
A horn-loaded mic provides a quite narrow directivity pattern, which results in increasing significantly the critical distance, i.e. the distance at which reverberated sound equals direct sound, so, in comparison with a typical card or hypercard mic, it will sound more "present". Naming that "spectral-masking" is on the fringe of deception.
Now, this property is met only when the dimensions of the horn are comparable to the wavelength, so, in practice, this mic woud offer this property only down to 1kHz, and below would tend to omni.
In addition, when transitioning from "above the cut-off frequency" to below, there are significant frequency response variations, that require specific multi-band EQ.
Of course, horn-loading produces significant damping of the diaphragm, so the capsule does not need the usual complex damping that standard dynamic mics requires. That would make the capsule easier to make.
The same could be said for a condenser mic, which could take advantage of the inherent gain of the horn to reduce the sensitivity of the capsule by increasing the distance between diaphragm and backplate, which would reduce one cause of non-linearity. That may be why the litt claims reduced IMD.