  Even though it is undoubtedly very appealing to interpret the latest T2K
results as evidence of CP violation, this claim assumes CPT conservation in the
neutrino sector to an extent that has not been tested yet. As we will show, T2K
results are not robust against a CPT-violating explanation. On the contrary, a
CPT-violating CP-conserving scenario is in perfect agreement with current
neutrino oscillation data. Therefore, to elucidate whether T2K results imply CP
or CPT violation is of utter importance. We show that, even after combining
with data from NO$\nu$A and from reactor experiments, no claims about CP
violation can be made. Finally, we update the bounds on CPT violation in the
neutrino sector.
