Using the GUI has nothing to do with the LightSpace integration - it is all down to the accuracy of the display when calibrated.
Most GUI displays are just not of a good enough quality to be considered accurate for colour work.
But, with LightSpace integration you will be able to profile and verify ANY display connected to Resolve.
There is no special version of LS for Resolve use - the Full LightSpace CMS will work fine.
(The specific versions such as FSI, Home Cinema will not make LUTs for Resolve, but can use Resolve as a patch generator).
LightSpace CMS can be used for any LUT generation, and the LUTs can then be used within Resolve.
Hope that helps.
Mob Boss at Light Illusion