A more interesting question would be if it is possible to disable the "dynamic" part of the CSS in any browser. Things like ":hover", ":active" that this proof of concept abuses and leave just the more benign static styling rules.
Probably not, you'd also need to disable a lot of other optimizations.
For example, a browser will not load an image if it's set to `display: none` in CSS (at least not right away). That could be abused to then trigger the download when CSS changes without a URL needing to be on the CSS at any point.