Whonix-Host
(Including the dash -.)
The dash is for consistency with other names Whonix-Gateway, Whonix-Workstation.
Whonix-Host, Whonix-Gateway, Whonix-Workstation
That would be good if Whonix was a new project which wouldn’t have a history of being known as VM focused and no own host operating system. Then we could have Whonix Deskop and maybe later also Whonix Server or even Whonix Enterprise.
For now I think Whonix Desktop would be often misunderstood as “the Whonix desktop inside a Whonix VM”. Discussions are still repeating the old state of things and not mentioning “you can install a host operating system on USB and then install Whonix” or Live Mode for Kicksecure.
For sure not since that branding is Kicksecure ™: A Security-hardened, Non-anonymous Linux Distribution. Independent of Whonix. One day there will be probably its own domain kicksecure.com and there would be no dependency on Whonix. The only connection being that Whonix is based on Kicksecure.