WordPress Dash-board or the administration panel now lets users know about their browser version and suggests update links if any update is required. This is a handy new feature to this web app to help desktop apps to stay updated.
There is no partiality, it does the same with any browser, Microsoft or any other platform.
An appreciable approach by Mozilla to make sure users surf the net safe.
Since using out dated browsers not only risks the users data but also increases the chance of losing vital information about their respective blog such as passwords and account secretes. Secondly newer features of WordPress can be best used with updated version of the browsers.