Peter Moore was employed by Microsoft from 2003 to 2007 as the head of their fledgling XBOX brand; after he left for EA, he was succeeded by Don Mattrick. To that end, Moore had nothing to do with the NFL exclusivity negotiations. If anything, Moore's high-level steering as the head of EA Sports (and later EA in general) helped to right the Madden NFL ship after a rocky Gen-3 presence to the far more stable and mechanically robust Gen-4 games we enjoy today.
Heck, Electronic Arts as a total humongous company is in better shape and has a better reputation than it did even two years ago, especially with recent quality releases such as Battlefield 1, Titanfall 2, Plants vs Zombies: Garden Warfare, Unravel, and so on. In fact, EA was the top-ranked publisher on Metacritic in 2016, rising from 7th the previous year. Moore's leadership no doubt influenced those positive changes.