  Although indications are that a single chiral quantum anomalous Hall(QAH)
edge mode might have been experimentally detected. There have been very many
recent experiments which conjecture that a single chiral QAH edge mode always
materializes along with a pair of quasi-helical quantum spin Hall (QSH) edge
modes. The reason for this seems to lie in the origin of QAH edge modes. These
evolve from QSH edge modes via suppression of one of the spin edge modes by
application of a ferromagnet or magnetic impurity. In this work we deal with a
substantial 'What If ?' question- in case the QSH edge modes, from which these
QAH edge modes evolve, are not topologically protected then the QAH edge modes
wont be topologically protected too and thus unfit for use in any applications.
Further, as a corollary one can also ask if the topological protection of QSH
edge modes does not carry over during the evolution process to QAH edge modes
then again our 'What if?' scenario becomes apparent. The "how" of the
resolution of this 'What if?' conundrum is the main objective of our work. We
show in similar set-ups affected by disorder and inelastic scattering,
transport via trivial QAH edge mode leads to quantization of Hall resistance
and not that via topological QAH edge modes. This perhaps begs a substantial
reinterpretation of those experiments which purported to find signatures of
chiral(topological) QAH edge modes albeit in conjunction with quasi helical QSH
edge modes.
