I could be wrong but I am saying “no”.
There are two different products: NexDock 360 and NexDock Wireless. The former is wired only and I am asserting based on the original blog post that it is the former that is in this offering.
It is still a valid question though to wonder what the state of Linux support is for the Wireless version of the product (specifically the display over WiFi). It’s a little bit too expensive to be the one trying to answer that question …