  We probe the universality hypothesis by analytically computing, at least, the
two-loop corrections to the critical exponents for $q$-deformed O($N$)
self-interacting $\lambda\phi^{4}$ scalar field theories through six distinct
and independent field-theoretic renormalization group methods and
$\epsilon$-expansion techniques. We show that the effect of $q$-deformation on
the one-loop corrections to the $q$-deformed critical exponents is null, so
universality hypothesis is broken down at this loop order. Such effect emerges
just, at least, at two-loop level and the validity of universality hypothesis
is restored. The $q$-deformed critical exponents obtained through the six
methods are the same and, furthermore, reduce to their non-deformed values in
the appropriated limit.
