My opinions are basically the same as https://users.rust-lang.org/t/best-way-to-install-rust-on-os...
One other note, I heard at least one Homebrew user saying that rustc was compiled from source, and so it takes a really, really long time. I don't know if they've added binary packages, but that'd help.
I used to love Homebrew, but I recently uninstalled it from my machines and went back to MacPorts. This was motivated by the discovery that the lead maintainer of Homebrew is a huge jerk. The tl;dr is he deliberately took offense at inadvertent rudeness in someone's GitHub comment that they had already edited to remove (he recognized this and quoted the original form from the email anyway), then subsequently threatened to ban them from the Homebrew GitHub organization for politely asking that their issue be reopened, and when I pointed this out, he banned me and deleted the relevant comments.
https://www.quora.com/Whats-the-logic-behind-Google-rejectin...
Beside that, I like to install packages from their canonical source. That could mean installing Go from golang.org to MariaDB from mariadb.org. It’s simple to compare sha256 checksums, which I suspect is also possible with Homebrew, I just don’t know how.
This is why I put Hombrew in /opt/homebrew. Despite the freakout warnings about this potentially breaking homebrew packages, I have never had an issue.