I suggest you to use Testing Server feature in Dreamweaver Site Setup for these kind of use cases. If we preview the page which contains <script type="text/javascript" src="//use.typekit.net/xxxxxx.js"></script> using testing server then corresponding protocol (http: or https:) will be added and font styles would be proper.
Chrome browser spends lot of time in resolving above url as "file://use.typekit.net/xxxxxx.js" if it is loaded from local disk directly and then renders the content without any web fonts applied.
I hope this helps to workaround the issue quickly.