  The prediction of possible ordering of neutrino masses relies mostly on the
model selected. Alienating the $\mu-\tau$ interchange symmetry from discrete
flavour symmetry based models, turns the neutrino mass matrix less predictive.
But this inspires one to seek the answer from other phenomenological
frameworks. We need a proper parametrization of the neutrino mass matrices
concerning individual hierarchies. In the present work, we attempt to study the
six different cases of Quasi-degenerate (QDN) neutrino models. The related mass
matrices, $m_{LL}^{\nu}$ are parametrized with two free parameters
($\alpha,\eta$) and standard Wolfenstein parameter ($\lambda$). The input mass
scale $m_0$ is selected around $\sim 0.08\,eV$. We begin with a $\mu-\tau$
symmetric neutrino mass matrix tailed by a correction from charged lepton
sector. The parametrization accentuates the existence of four independent
texture zero building block matrices which are common to all the QDN models
under $\mu-\tau$ symmetric framework. These remain invariant irrespective of
any choice of solar angle. In our parametrization, the neutrino sector controls
the solar angle, whereas the reactor and atmospheric angles are dictated by the
charged lepton sector. In the framework of oscillation experiments,
cosmological observation and future experiments involving $\beta$-decay and
$0\nu\beta\beta$ experiments, all QDN models are tested and a reason to rule
out anyone out of the six models is unfounded. A strong preference for
$\sin^2\theta_{12}=0.32$ is observed for QDNH-$Type A$ model.
