  We show that short-range interactions are irrelevant around gapless
ground-state delocalization-localization transitions driven by quasiperiodicity
in interacting fermionic chains. In the presence of interactions, these
transitions separate Luttinger Liquid and Anderson glass phases. Remarkably,
close to criticality, we find that excitations become effectively
non-interacting. By formulating a many-body generalization of a recently
developed method to obtain single-particle localization phase diagrams, we
carry out precise calculations of critical points between Luttinger Liquid and
Anderson glass phases and find that the correlation length critical exponent
takes the value $\nu = 1.001 \pm 0.007$, compatible with $\nu=1$ known exactly
at the non-interacting critical point. We also show that other critical
exponents, such as the dynamical exponent $z$ and a many-body analog of the
fractal dimension are compatible with the exponents obtained at the
non-interacting critical point. Noteworthy, we find that the transitions are
accompanied by the emergence of a many-body generalization of previously found
single-particle hidden dualities. Finally, we show that in the limit of
vanishing interaction strength, all finite range interactions are irrelevant at
the non-interacting critical point.
