localhost(2026-07-19|14:57:51) ~/rust$ rustup update stable
info: syncing channel updates for stable-x86_64-unknown-linux-gnu
info: latest update on 2026-07-16 for version 1.97.1 (8bab26f4f 2026-07-14)
info: removing previous version of component cargo
info: removing previous version of component clippy
info: removing previous version of component rust-docs
info: removing previous version of component rust-std
info: removing previous version of component rustc
info: removing previous version of component rustfmt
info: downloading 6 components
        cargo installed                       10.63 MiB
       clippy installed                        4.71 MiB
    rust-docs installed                       22.73 MiB
     rust-std installed                       28.71 MiB
        rustc installed                       77.30 MiB
      rustfmt installed                        2.06 MiB                                                                                                      
  stable-x86_64-unknown-linux-gnu updated - rustc 1.97.1 (8bab26f4f 2026-07-14) (from rustc 1.96.0 (ac68faa20 2026-05-25))

info: checking for self-update (current version: 1.29.0)
localhost(2026-07-19|15:01:20) ~/rust$

I think that it should do backups first and remove only in the end. Or do parallel installs.