Button Latency with Stream setup

ArcadEd

I know this might be a bit off topic since this is the dev forums, but I figured fellow devs might have a better answer than anyone else.  

I am planning on doing some streaming while playing the OUYA tonight. The issue I am running into is button lag/latency.

First off, I have setup many streams for Fighting Game Tournaments where button lag cannot exist, so I like to think I kind of know what I am doing .

My Scenarios: Using Canabalt as a test.

1. Plug OUYA directly into my Samsung 1080p HDTV. Game runs fine, jump is responsive as soon as I hit the button.

My stream PC is using a black magic intensity pro. Same rig I used to stream fighting games via xbox 360 and hdmi.

2. Using built in pass through on the black magic, I plug the OUYA into the input, and my TV into the output. Everything works great, xsplit and wirecast see the game screen, as does my tv. Canabalt has a obvious half second button delay from when I hit the button, to when he jumps.

3. Using a HDMI splitter, this is way I used to do it for fighting games. OUYA goes into the input, outputs to my black magic input and my tv input. Game comes up on my TV, same button lag listed above. Game does not display in xsplit, wirecast or blackmagic software. Just shows snow, with the occasional flicker of game screen. 

So it seems like whenever the HDMI video is split, the button lag gets really bad. Now this was never an issue with the 360. The splitters are externally powered. 

I would love any thoughts on this. Otherwise, I guess I will stream and try to get used to the latency. 

Thanks
Ed