A webcam shortlist usually collapses into a single winner, and the recorded data for the two cameras in this catalogue does not support that. One records 4K capture, autofocus and infrared support. The other records a 1080p image and manual control over exposure. Both are defensible choices for video calls, and they are defensible for different reasons.
Four criteria are used here: the highest resolution and frame rate the camera records, how the camera focuses, how much of the image the user can set by hand, and how the camera is fixed to the desk and whether it can support system sign-in.
The Logitech Brio 4K, placed for 4K
The Brio 4K records up to 4K at 30 fps and 1080p at 60 fps, records autofocus, records an adjustable field of view and records infrared support as yes. Its recorded description links that infrared support to Windows Hello style platform authentication, which is a specific job the other camera on this list does not record.
Its recorded intended user is someone who needs 4K capture or platform authentication and is willing to pay for it. The catalogue records no price, so that part of the decision has to be made at the point of purchase rather than from this page.
The Elgato Facecam, placed for manual control
The Elgato Facecam records 1080p at 60 fps, a fixed focus prime lens and a field of view adjustable in software, and manual exposure control appears in its recorded feature list. Its recorded intended user wants manual control over a 1080p camera for streaming and calls, and the recorded mounting is a monitor mount and a tripod thread.
For a stream or a call where you want to set the image once and leave it alone, that set of recorded specifications is the reason it is here.
Where the trade-offs sit
The trade-off is resolution against control, and it is not a straight line. The Brio 4K records the higher ceiling, but manual exposure control is not among its recorded features, so on this criterion it has less recorded going for it than the camera with the lower ceiling. The Facecam records the software control and the fixed focus, and a fixed focus means the camera is not adjusting itself to a subject who moves toward it. Which matters more depends on where the camera is and whether the subject moves.
Autofocus and infrared are not the same trade at all. The Brio 4K records autofocus and infrared support, and the Facecam records neither, so the Facecam is the simpler camera by those two measures and the Brio is the more capable one.
What this catalogue cannot settle
No image quality judgement can be made from a resolution line. The catalogue does not record a lens aperture for either camera, a low light figure, a microphone specification, a price, or what the fixed focus prime on the Facecam does at the edge of the frame. It records what each camera is, not how the picture looks. If your decision depends on how a camera behaves in a dim room or how it handles a bright window behind you, that decision needs a source this catalogue does not currently hold.