I was talking with @annevk, and he mentioned that he thought the "fetch a style resource" algorithm in CSS Values 4 should probably follow HTML (and at least what WebKit does) and use credentials mode is "include" rather than "same-origin" as the default value.
This would better match HTML's "create a potential-CORS request" algorithm used for most HTML Subresource fetching.
(@annevk, please correct anything I have wrong here).
cc @tabatkins, @fantasai