TOTEM-ATLAS ambiguity: Shouldn't one worry?

The values of the parameters ${\rho }^{pp},{\sigma }_{\text{tot}}^{pp}$ and $B^{pp}$ extracted in the region of Coulomb-nuclear interference (CNI) in the ATLAS and TOTEM experiments at energy $\sqrt{s}=13$ TeV are studied based on the general expression for the Coulomb-nuclear amplitude. Due to the significant differences between these data, we undertake both their joint analysis and the retrieval of parameter values separately for each experiment. A significant incompatibility of these parameters published by the ATLAS and TOTEM experiments is shown. This is especially noticeable in the case of ${\sigma }_{\text{tot}}$ and the situation is similar to what once happened at the TEVATRON: the values of ${\sigma }_{\text{tot}}^{ATLAS}$ with account of errors do not overlap with ${\sigma }_{\text{tot}}^{TOTEM}$.