  We study $\chi_{c1}(2P)$ inclusive hadroproduction at next-to-leading order
(NLO), both in $\alpha_s$ and $v^2$, within the factorization formalism of
nonrelativistic quantum chromodynamics (NRQCD), including the color-singlet
$^3P_1^{[1]}$ and color-octet $^3S_1^{[8]}$ $c\bar c$ Fock states as well as
the mixing of the latter with the $^3D_1^{[8]}$ state. Assuming the recently
discovered X(3872) hadron to be the $J^{PC}=1^{++}$ charmonium state
$\chi_{c1}(2P)$, we perform a fit to the cross sections measured by the CDF,
CMS, and LHCb Collaborations. We either obtain an unacceptably high value of
$\chi^2$, a value of $|R_{2P}^\prime(0)|$ incompatible with well-established
potential models, or an intolerable violation of the NRQCD velocity rules. We
thus conclude that NLO NRQCD is inconsistent with the hypothesis
$X(3872)\equiv\chi_{c1}(2P)$.
