> Additionally, for most cameras, the input feed used by the software goes through the camera's image processing stack as if they were using the real-time "Live View" feature (i.e. showing you the image you're going to take post-processing, i.e. real-time image processing). This often heats the camera up and causes it to shut down due to thermal overload. If you use a capture card, it captures whatever's on the screen without hitting the image processing stack, which is much less resource-intensive.

These pathways are the same. You're decidedly not getting raw video out of (most) consumer cameras via HDMI.