In that interview, Michael Condrey mentions (a little after the 1:15 mark) that Call of Duty: Advanced Warfare will feature a traditional playlist. In that traditional playlist, you'll have modes that do not feature the exoskeleton & play more like the previous Call of Duty titles you've known in the past (movement wise).
You'll be able to play Team Deathmatch, Domination, CTF & likely a few other modes without the exoskeleton's dodge & double-jump mechanics. When the game launches, they'll be featured as a separate playlist for those players who are wanting the "traditional" feel.
Seems like a smart move for Sledgehammer, honestly. If fans want the game but don't like the exoskeleton, this allows them to still feel the urge to buy it & enjoy it "their" way.