Internet Stuttering Every 10 Seconds?

I do a lot of gaming, as does my fiance. We've gone through Time Warner and Suddenlink without problems that weren't fixable. Over the past 2 weeks with WOW! we noticed our games will stutter for a second about ever 10-15 seconds, sometimes less. I called them and told them the problem and they told me, after saying everything is good on their end, to get the port numbers for the games so the can add them to "something I stopped paying attention to after thinking this is BS".

I've never had to do this at any other ISP in any other location, so why do they need it? Is there something else it could be? My DL is showing up at 15.85 and UL is 1.11... 25 ping.