  It is important to check if the Froissaron-Maximal Odderon (FMO) approach is
the only model in agreement with the LHC data. We therefore generalized the FMO
approach by relaxing the $\ln^2s$ constraints both in the even-and
odd-under-crossing amplitude. We show that, in spite of a considerable freedom
of a large class of amplitudes, the best fits bring us back to the maximality
of strong interaction. Moreover, if we leave Odderon Regge pole intercept
$\alpha_O(0)$ completely free we find a very good solution for $\alpha_O(0)$
near -1 in agreement with the result of oddballs spectroscopy in QCD based on
AdS/CFT correspondence.
