I got the device working with my system, but I'm pretty sure the problems with the card are because of the card, not because of some incompatibility with obs unfortunately. All the problems that I had with the card were always reflected in blackmagic express, when the card had trouble displaying something it wouldn't even display it in their own program. The only way I managed to get my xbox 360 working with it in both blackmagic express and obs was setting my xbox to YUV mode; it's extremely unusual for a device to not properly support RGB output over HDMI. Honestly I can't help but to feel this device is just fundamentally flawed on many levels.
The card is one of the worst devices I've ever used in my life. The fan alone is the most loud fan I've ever encountered on any sort of device I've ever bought. I'm not sure how this card got approved for release by quality assurance. This thing is awful. Cheap in every sense of the word, sad to say. I couldn't wait to get that thing out of my computer just to get that ungodly loud fan to shut up.
So this isn't really about getting obs to support the device, it's about the device just being plain terrible. Really sad to see that they'd let this device out the door, because blackmagic devices usually tend to be pretty good. This has to be one of the worst devices they've ever released.