If these issues are not highlighted, players will continue to lose out. I can not see how this release was caustic towards TTFA. It was carefully worded to ensure that we explained exactly what TTFA did and that there must be a problem at FIFA. The players, being frustrated and technically part time employees of TTFA have the right to voice their frustrations. We could have sent them off to Lasana, but if we did that, I'm sure the story would have been far more "caustic." In order to maintain future relations, we sent out our own release.
As for not "getting it" , I think you really do understand what happened and why. If you somehow truly believe that a club should not enlist the support of it's association in an international issue, then fair enough. But just like an embassy or consulate would assist a citizen overseas, I feel it's reasonable to request that an F.A. utilises it's links to assist national team players, even if it's for it's own benefit.
Nothing wrong with enlisting the help of the FA, in fact it might be silly to have not. However in this case Central relied exclusively on the FA, when there was more that Central could have done. In fact, given the availability of the information on procedures, Central should have done the heavy lifting... not punt everything to the TTFA then throw your toys out the pram when they didn't move as quickly or effectively as you'd have liked.