No. It is not. However, the foundations of digital media are very much rooted in analogue media, including print.
This includes typography. Whether it's for the web, or movable type. The history of typography is a crucially important part of the Web with pioneering designers such as Jeffrey Zeldman, Jason Santa Maria or even Edward Tufte in fields such as Information Design and human interaction design.
Why is a web designer trying to choose fonts? The web is not a print medium.