The phrasing there is confusing. Does the NIC break because the ME is neutralized? Then rebooting again with the ME neutralized will break the NIC again.
Why would the NIC only break once after the ME is neutralized? The system is started from a fully powered-off state after the ME firmware is updated. Maybe the NIC has some sort of non-volatile state that gets updated when the ME fails to initialize, and then the NIC starts working again. That's the most complex explanation so I thought it unlikely, but I'm happy to hear more from someone who has actually neutralized their ME.
Apologies this is interpretation not actual experience, so grains of salt.
It's not strictly clear to me, but reading through what they're doing, the ME isn't re-engaged or its unclear how it recovers itself.
Unless the ME is operating with a recovery binary somewhere that isn't covered by Nicola's neutralizer and the subsequent flashing, I don't think it comes back in to normal operation.
If the solution to ME stealing my secrets is simply "don't plug in a network cable" then that's a lot simpler and I'm not going to bother with the potential brick making. Why go through all this and still not have a working computer?