Perhaps a touch esoteric, but with a center feed, the cartridge is presented to the bolt in the exact same spot each time. A Left/right feed presents the a cartridge to a spot that alternates every other shot. Center feed may allow a better fine tuning of extractors, controlled feed, etc.
However, since I am an ignorant, unwashed heathen, I'll continue shooting my Garand, my SMLE and my SKS. None of which is center feed, and do not seem to have significant feed reliability issues.
What we have here is... failure- to communicate.