diff --git a/src/cli/rustup_mode.rs b/src/cli/rustup_mode.rs
index 0a7b555976..34b3d87061 100644
--- a/src/cli/rustup_mode.rs
+++ b/src/cli/rustup_mode.rs
@@ -1667,7 +1667,7 @@ async fn component_remove(
 
 async fn toolchain_link(
     cfg: &Cfg<'_>,
-    dest: &CustomToolchainName,
+    toolchain: &CustomToolchainName,
     src: &Path,
 ) -> anyhow::Result<ExitCode> {
     cfg.ensure_toolchains_dir()?;
@@ -1683,7 +1683,7 @@ async fn toolchain_link(
 
     InstallMethod::Link {
         src: &cfg.current_dir.join(src),
-        dest,
+        toolchain,
         cfg,
     }
     .install(None)
diff --git a/src/install.rs b/src/install.rs
index 784b27d409..e360dad57c 100644
--- a/src/install.rs
+++ b/src/install.rs
@@ -8,7 +8,7 @@ use crate::{
     config::Cfg,
     dist::{DistOptions, manifest::ManifestWithHash, prefix::InstallPrefix},
     errors::RustupError,
-    toolchain::{CustomToolchainName, Toolchain},
+    toolchain::{CustomToolchainName, LocalToolchainName, Toolchain},
     utils,
 };
 
@@ -22,7 +22,7 @@ pub(crate) enum UpdateStatus {
 pub(crate) enum InstallMethod<'cfg, 'a> {
     Link {
         src: &'a Path,
-        dest: &'a CustomToolchainName,
+        toolchain: &'a CustomToolchainName,
         cfg: &'cfg Cfg<'cfg>,
     },
     Dist(DistOptions<'cfg, 'a>),
@@ -45,40 +45,39 @@ impl InstallMethod<'_, '_> {
             .num_threads(cfg.process.io_thread_count()?.into())
             .build_global();
 
-        let local_name = match &self {
-            Self::Link { dest, .. } => {
-                let name = (*dest).clone().into();
-                debug!("linking toolchain {name}");
-                name
+        let toolchain = match &self {
+            Self::Link { toolchain, .. } => {
+                let toolchain = LocalToolchainName::from((*toolchain).clone());
+                debug!("linking toolchain `{toolchain}`");
+                toolchain
             }
             Self::Dist(DistOptions {
-                toolchain: desc,
+                toolchain,
                 old_date_version,
                 ..
             }) => {
-                let name = (*desc).clone().into();
-                if old_date_version.is_some() {
-                    debug!("updating existing install for '{name}'");
-                } else {
-                    debug!("installing toolchain {name}");
+                let toolchain = LocalToolchainName::from((*toolchain).clone());
+                match old_date_version {
+                    Some(_) => debug!("updating existing install for `{toolchain}`"),
+                    None => debug!("installing toolchain `{toolchain}`"),
                 }
-                name
+                toolchain
             }
         };
 
-        let dest_path = &cfg.toolchain_path(&local_name);
-        debug!("toolchain directory: {}", dest_path.display());
-        if dest_path.exists() && !matches!(self, Self::Dist { .. }) {
-            uninstall(dest_path)?;
+        let toolchain_path = &cfg.toolchain_path(&toolchain);
+        debug!("toolchain directory: {}", toolchain_path.display());
+        if toolchain_path.exists() && !matches!(self, Self::Dist { .. }) {
+            uninstall(toolchain_path)?;
         }
 
         let status = match &self {
             Self::Link { src, .. } => {
-                utils::symlink_dir(src, dest_path)?;
+                utils::symlink_dir(src, toolchain_path)?;
                 UpdateStatus::Installed
             }
             Self::Dist(opts) => match opts
-                .install_into(&InstallPrefix::from(dest_path.clone()), manifest)
+                .install_into(&InstallPrefix::from(toolchain_path.clone()), manifest)
                 .await?
             {
                 None => UpdateStatus::Unchanged,
@@ -96,13 +95,13 @@ impl InstallMethod<'_, '_> {
         };
 
         // Final check, to ensure we're installed
-        if !Toolchain::exists(cfg, &local_name)? {
-            return Err(RustupError::ToolchainNotInstallable(local_name.to_string()).into());
+        if !Toolchain::exists(cfg, &toolchain)? {
+            return Err(RustupError::ToolchainNotInstallable(toolchain.to_string()).into());
         }
 
         match &status {
             UpdateStatus::Unchanged => debug!("toolchain is already up to date"),
-            _ => debug!("toolchain {local_name} installed"),
+            _ => debug!("toolchain {toolchain} installed"),
         };
 
         Ok(status)