There is some potential for leakage with uncommon assets. Maybe only a handful of websites use JQuery 1.2.65 or Helvetiroma Slab in font weight 100. It's a less severe vector than just testing if someforum.example/admin.css is cached, but still it's leaking data. The CDN could mitigate that by only sending a cache-sharable header on sufficiently popular assets, but depending on others going out of their way to preserve privacy is probably a bad idea.
Your webmail provider has a search box, and the content that is returned is styled with Roboto. If the search finds nothing, then Roboto isn't loaded. The attacker forces Rotobo out of the cache with a specially formatted fetch() request, then loads an iframe of the search. Then the attacker checks if Roboto is in the cache or not. This allows the attacker to essentially read your email inbox.
https://sirdarckcat.blogspot.com/2019/03/http-cache-cross-si...
<script shared src="//:jquery.com/jquery.js"></script>