It’s been a long time, but you should be able to capture video. But you have to have the right software to do it in addition to the proper connection.
I’m sure there are others here who can direct you to the current software packages available. It’s been years since I’ve done it, so I’m not UTD on the software issue.
I have Pinnacle Studio 14, which is pretty much ‘state of the art’ for amateurs.
I should be OK on the “video suite” side, BUT as you suggest, there may be some special HDMI software app that makes it work.