Like using the port as a I/O interface, like a USB? Both ends are male and it wouldn't have any problem connecting like that.

Think i found something that could work.

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Just use a USB 3.0 to HDMI DisplayLink adapter. They're not that expensive, and give reasonable picture quality.

Here is the cheapest i could find for a capture device, no frame rates listed and supports 480i/p or 576i/p. 25$
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The next one up is this, supports 1080i/p no listed frame rates either. 58$
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Here is the page i was looking at.
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How ever i hope its decoded when it captures the video...

High-bandwidth Digital Content Protection (HDCP), is a form of digital copy protection developed by Intel Corporation[1] to prevent copying of digital audio and video content as it travels across connections.

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Hopefully they only mean Movies and Music, watching some one play a game IS NOT the same as copying the whole thing. Like that with a movie.

25$ isn't all that much really, compared to the other capture devices its about 1/8th the cost of a high quality one made by some other companies. Which is why i was weary of the HDCP that IBM/Microsoft created for anti piracy.

I think the first one i linked the Grabber Capture is the cheapest one i could find online.