  In this third of a series of papers related to cataclysmic variables (CVs)
and related objects, we analyse the population of CVs in a set of 12 globular
cluster models evolved with the MOCCA Monte Carlo code, for two initial binary
populations (IBPs), two choices of common-envelope phase (CEP) parameters, and
three different models for the evolution of CVs and the treatment of angular
momentum loss. When more realistic models and parameters are considered, we
find that present-day cluster CV duty cycles are extremely-low ($\lesssim 0.1$
per cent) which makes their detection during outbursts rather difficult.
Additionally, the IBP plays a significant role in shaping the CV population
properties, and models that follow the Kroupa IBP are less affected by enhanced
angular momentum loss. We also predict from our simulations that CVs formed
dynamically in the past few Gyr (massive CVs) correspond to bright CVs (as
expected), and that faint CVs formed several Gyr ago (dynamically or not)
represent the overwhelming majority. Regarding the CV formation rate, we rule
out the notion that it is similar irrespective of the cluster properties.
Finally, we discuss the differences in the present-day CV properties related to
the IBPs, the initial cluster conditions, the CEP parameters, formation
channels, the CV evolution models, and the angular momentum loss treatments.
