So why the Eminence designer guy told that ?
Maybe a specific Neo magnet different than the ones you speak about ?
I have no idea why.
That statement flies in the face of the undisputed fact that the highest power, highest performing speakers (especially in the pro audio subwoofer market) use Neo magnet based motors. This is a market that is 100% performance based, and higher cost is not a big issue.
Now there is SOME possibility the terminology is part of the challenge, but only when you dissect the meanings to a semi-molecular level...
1. There's a difference between thermal conductivity and the resistance to thermal compression. Thermal conductivity is the ability of heat (or thermal energy) to conduct through the material. Resistance to thermal compression is the magnetic material's change in field strength versus temperature. Different materials, and different "alloys" of materials behave differently in this regard, and are generally defined by the Curie temperature of the material.
2. The thermal resistance of magnetic materials are based on the material itself and how it's processed.
ALNICO has the lowest resistance (highest conductivity) to thermal energy, and also has the highest working Curie temperature (~500-600 deg C). Unfortunately, it's fairly heavy, expensive and has a lower magnetic strength per unit weight. It also has the unfortunate challenge of permanent loss of of magnetic strength with self-demagnetization as well as from mechanical shock.
Neodymium material has the next lowest thermal resistance (higher conductivity) to thermal energy, and has a working curie temperature of ~300 deg C (with the "alloys" used in speaker motors), it also has MUCH higher magnetic field strength per unit weight than any other material. The challenge with Neo is in the cost of processing. Here's a good article about what goes into the refining and manufacturing of Neo magnet materials:
How Are Neodymium Magnets Made - Ideal Magnet Solutions
Ferrite magnet material has the highest thermal resistance (lowest conductivity), and has a working Curie temperature of ~350 deg C (for the common "alloys" used in speakers), and has a low magnetic strength per unit weight. the advantage is that the material is generally quite cheap (though there are some extended grades that improve this aspect somewhat, at a higher price)
Now let's look at these temperatures compared with the temperature of the insulation on the voice coil winding itself. The Polyamide insulation most often used has a working temperature of a little over 200 deg C, which is the highest grade material available for common production. The bonding adhesives temperature limits are about the same.
Therefore, it's virtually impossible to create enough thermal energy transfer from the 200 deg C voice coil across an air gap that has air moving within the gap removing heat) to the magnetic material which is continuously conducting the heat to the other huger mass metal structures (return structure) to raise the temperature of the magnet to anywhere near its Curie temperature.
The difference between the locations of the magnetic material requires that the calculations be done differently (Neo and ALNICO are typically slug magnets in the pole circuit and Ferrite is typically a ring magnet between the pole and return circuits), but in all cases, there is simply not enough thermal energy present to heat the magnet up high enough without the voice coil failing well before.
This is why speakers perform the way they do. It's been demonstrated again and again, based on science, engineering and math as well as real world confirmation. If it didn't work, and if there were speakers suffering from this phenomenon, then there would be a good argument against this, but in the pro audio world, Neo speakers are subject to brutal conditions night after night for years without problems.
There are all kinds of electro-dynamic compression effects, plus design workarounds to limit their practical impacts, but these are unrelated to thermal issues.