It still does:
The Law
For issues such as DMCA violations, trademark and copyright infringement, Crates.io will respect Mozilla Legal’s decisions with regards to content that is hosted.
I overall find the crates.io package policies not well done for a project of this size / significance. Hence why I referred to NPM as a (supposedly) better example. (But didn't really read too much into those.)
P.S.: Just to be sure, Rust is no longer a project of Mozilla, is it? I truly don't know, and these references to Mozilla do confuse me.
P.P.S.: See also What is Rust / Who owns Rust?, where this is (basically) answered, but I don't know if there are still intertanglements and I keep stumbling upon "Mozilla" in legal docunents. So I would like to know if there's a reason they are still mentioned or whether it's just not been updated yet.
I don't think wording such as "The short version is…" (without elaborating on the details later or earlier) is a good idea in legal documents such as package policies. Since I didn't find any ToS on crates.io, I would assume that the "package policies" in fact are the ToS.
(Regarding the abbreviation "ToS", see Wikipedia on "Terms of service".)