How many CVTs have other than a TC between them and the engine/motor though? I have recollection of one using a magnetic powder to disengage the drive at idle but other than that I think they do all use TCs.
Using a TC does allow taller numerical ratios (in planetary transmissions and CVT) because the slip in the TC is equivalent in effect to lowering gear ratios. About 40 years ago Alex Issigonis had gearless Minis running that used only the TC to provide the gearing.
eg.
Issigonis Prototype 1970 Mini 9X ‘Gearless’ - Atwell-Wilson Motor Museum