Would be ideal to drop the white rounded rectangle and just have the W on a transparent background
https://realfavicongenerator.net/blog/new-favicon-package-less-is-more/
http://www.emergeinteractive.com/insights/detail/The-Essentials-of-FavIcons-in-2017
https://daringfireball.net/2013/01/retina_favicons
https://www.keycdn.com/blog/make-a-favicon/
Comparison in Firefox on Retina display of several popular websites
Comparison in Chrome on Retina display