A concept that envisages EM radiation only from charges is fundamentally wrong. It is easy to prove that neutrons also absorb and emit photons.
Take a laser beam and use it to accelerate a free neutron. Due to the impossibility of "generating" energy from nothing, there must be an explanation for the increase in the kinetic energy of the neutron. Part of the energy of the laser beam must be transferred to the neutron. This is only possible through the absorption of photons. If you now set up your experiment in such a way that you hit a moving neutron against the direction of movement with the laser beam, the neutron is slowed down. This means that more photons are emitted than absorbed. Or the wavelengths of the incoming and outgoing radiation differ. Or both.
Now, of course, someone will point out that neutrons are subatomic particles that consist of more fundamental particles. Incidentally, this also applies to the positive electric charge, the proton. But that doesn't detract from the fact that I manage to elicit EM radiation from a free neutron before it decays.
What does this have to do with your question about the thermal radiation of a neutron star? In a neutron star, according to the mechanism described above, there should be an exchange of energy between the neutrons. And this is an exchange of EM radiation.