Fire TV's impact on rest of network while streaming Hulu

I just purchased on Fire TV 2 on Prime Day and have been trying it out as my main streamer. The Roku 3 that I used to use as my primary is now on the bedroom TV. The problem that I'm noticing is that while my wife streams Hulu on the Fire TV I get pretty incredible lag (high latency) while playing Dota 2. This was not an issue with all else being equal when she streamed Hulu on the Roku 3. However, this has always been an issue with streaming Netflix. I can only assume that for whatever reason the Fire TV is hogging much more bandwidth than the Roku 3 did on the same app. Any ideas why this might be? Is there anything that can be done at the device level to try to reduce the amount of bandwidth it saps up? I would appreciate any thoughts on this issue.