  The way physics of loop quantum gravity is affected by the underlying
quantization ambiguities is an open question. We address this issue in the
context of loop quantum cosmology using gauge-covariant fluxes. Consequences
are explored for two choices of regularization parameters: $\mu_0$ and $\bar
\mu$ in presence of a positive cosmological constant, and two choices of
regularizations of the Hamiltonian constraint in loop quantum cosmology: the
standard and the Thiemann regularization. We show that novel features of
singularity resolution and bounce, occurring due to gauge-covariant fluxes,
exist also for Thiemann-regularized dynamics. The $\mu_0$-scheme is found to be
unviable as in standard loop quantum cosmology when a positive cosmological
constant is included. Our investigation brings out a surprising result that the
nature of emergent matter in the pre-bounce regime is determined by the choice
of regulator in the Thiemann regularization of the scalar constraint whether or
not one uses gauge-covaraint fluxes. Unlike $\bar \mu$-scheme where the
emergent matter is a cosmological constant, the emergent matter in
$\mu_0$-scheme behaves as a string gas.
