Frankly, I'm puzzled by your initial statement: Intel AMT 4.0 was a Mobile technology. Unless you are using Mobile-on-Desktop, you would either have Intel AMT 3.x or 5.x. With Intel AMT 6 they became merged.
Having said that, the desktop chipsets do support Wireless AMT via specific Intel Wireless mini-PCIe cards, such as the Centrino Advanced-N6205. This has been supported since around 2011. Of course, your board must have the mini-CPIe card slots with C-Link signals routed to them. This is the main reason full-size PCIe wirelss cards will not work with Intel AMT as the C-Link signals are not routed to any of the regular PICe lanes. It would require an external cable from the card to a connector on the motherboard specificfally for this purpose.
I too am confused by the reference to AMT 4.0 being a desktop system.
Regardless as to this confusion, wifi can be enabled by 2 methods if wifi access can be configured.
- Creating a new provisioning profile with the wifi settings configured and then reprovisioning the client
- Entering the WebUI thru the wired interface and configuring the wireless settings thru the web interface.
- Login in http://clientfqdn:16992 - use 16993 if in tls mode
- Select wireless settings
- Select Enableed in S0,SxAC and then select "submit"
- Select New
- Provide Wireless Settings
- Select Submit