I have both an HDHomerun Prime and a Connect, and the same Windows Media Center can record from either one to disk.
But how would one get Windows Media Center nowadays? New PCs come with Windows 10 Home. Unlike Windows 7, Windows 10 lacks Windows Media Center, and unlike Windows Pro, Windows Home lacks downgrade rights. Do people routinely buy the Pro Anytime Upgrade in order to downgrade to Windows 7 Professional with Windows Media Center?
Or is there another solution for recording from a CableCARD tuner to a PC?