The capture program is a screen capture program, which will record off the screen, and will work.
The "Stream Recorder" is for media streams, like youtube.
You can buy each program individually, or get the bundle, but for this project you only need WM Capture.
EDIT: WM Capture allows you to drag a frame over anything on your desktop, and will record whatever is displayed in that window, and it also captures audio from games and movies. It's what you use when you cannot use WM Recorder to capture restricted media stream formats.
WM Recorder is used for intercepting the video data as it's being downloaded, so you "record" without actually recording the screen. But it doesn't work with certain modern formats, so that's why they made an additional screen capture program.