Yes, a good name for Whonix Host is needed as Whonix Host alone isn’t very descriptive / not sounding very exciting.
Whonix Live (Live Mode for Kicksecure) isn’t very popular yet since Whonix 15 hasn’t been released as stable yet. Nothing written in stone yet. So we could “hijack” our own name, move Live Mode for Kicksecure to elsewhere and then use Whonix Live for the Whonix Host.
What I don’t like about Whonix Live is that it sounds too limited too.
It’s not only Live.
The great thing is, we can combine the best of both worlds. Boot into persistent mode, upgrade everything and on demand reboot into Live mode.
It’s also based on hardened debian (rename required) which comes with many enhanced default security enhancement such as jitterentropy-rng installed by default.