Not really doubting you as that kind of stands to reason to me, but is there any proof of this? The whole thing seems opaque.
If the OS is running, wireless AMT forwards packets through the OS driver; it's cooperative (unlike the wired AMT, which always exists at a higher level than the OS, because it has features like resetting a crashed OS).
If the OS isn't running, you provision the AMT with WiFi credentials for the AMT host, using a tool. If you want, you can use the Local Manageability Service (LMS) tool to automatically forward credentials from the OS to the AMT, otherwise, you can install specific profiles.
When I'd built my first home server/NAS I wanted remote control but I didn't want to pay for hardware with real IPMI/iLO/..., so I choose desktop motherboard from Intel with Q35 chipset (it was time when Z45/Q45 was cutting edge and 35th series was previous generation). NIC was Intel's one too, I think it was legendary PRO/100, not 1G yet.
I was VERY disappointed to discover, that I didn't get remote console and/or remote serial port with ME/AMT at all, that it i not true AMT in desktop motherboards, even with Q chipset.