The web isn't print, it was never meant to be. The content you publish online is going to be displayed on any number of devices at various resolutions, scales, window sizes, colours, etc.

If you're a web designer, keep in mind that you're displaying content that's useful beyond the artistic merit of the typeface and other decorative elements. If you want to show off a design, make a PDF or an image. If you are making content useful to the widest audience you can reach, there are compromises that have to be made.