No the driver has no bronze bushing between the sheaves on a 1" model.
it's main purpose is not to reduce friction but to align the belt in the correct position for the sheaves to grab,
and while it does reduce friction on the 3/4" shafts,
it's not needed on 1" shaft models since the belt already sits in at the correct height for the sheaves.
frosty a creeping kart at idle is mostly a too tight belt (chinese belts are not always fitting the tc they come with unfortunately)
or idling too high. So check the slack of the belt and maybe try to adjust your idle down a hair.
'sid