diff --git a/src/tools/run-make-support/src/llvm.rs b/src/tools/run-make-support/src/llvm.rs
index fe4131819baec..99bce08fc2387 100644
--- a/src/tools/run-make-support/src/llvm.rs
+++ b/src/tools/run-make-support/src/llvm.rs
@@ -2,8 +2,8 @@ use std::path::{Path, PathBuf};
 
 use crate::{env_var, Command};
 
-/// Construct a new `llvm-readobj` invocation. This assumes that `llvm-readobj` is available
-/// at `$LLVM_BIN_DIR/llvm-readobj`.
+/// Construct a new `llvm-readobj` invocation with the `GNU` output style.
+/// This assumes that `llvm-readobj` is available at `$LLVM_BIN_DIR/llvm-readobj`.
 #[track_caller]
 pub fn llvm_readobj() -> LlvmReadobj {
     LlvmReadobj::new()
@@ -70,13 +70,24 @@ pub fn llvm_bin_dir() -> PathBuf {
 }
 
 impl LlvmReadobj {
-    /// Construct a new `llvm-readobj` invocation. This assumes that `llvm-readobj` is available
-    /// at `$LLVM_BIN_DIR/llvm-readobj`.
+    /// Construct a new `llvm-readobj` invocation with the `GNU` output style.
+    /// This assumes that `llvm-readobj` is available at `$LLVM_BIN_DIR/llvm-readobj`.
     #[track_caller]
     pub fn new() -> Self {
         let llvm_readobj = llvm_bin_dir().join("llvm-readobj");
         let cmd = Command::new(llvm_readobj);
-        Self { cmd }
+        let mut readobj = Self { cmd };
+        readobj.elf_output_style("GNU");
+        readobj
+    }
+
+    /// Specify the format of the ELF information.
+    ///
+    /// Valid options are `LLVM` (default), `GNU`, and `JSON`.
+    pub fn elf_output_style(&mut self, style: &str) -> &mut Self {
+        self.cmd.arg("--elf-output-style");
+        self.cmd.arg(style);
+        self
     }
 
     /// Provide an input file.
@@ -90,6 +101,13 @@ impl LlvmReadobj {
         self.cmd.arg("--file-header");
         self
     }
+
+    /// Specify the section to display.
+    pub fn section(&mut self, section: &str) -> &mut Self {
+        self.cmd.arg("--string-dump");
+        self.cmd.arg(section);
+        self
+    }
 }
 
 impl LlvmProfdata {
diff --git a/src/tools/tidy/src/allowed_run_make_makefiles.txt b/src/tools/tidy/src/allowed_run_make_makefiles.txt
index 1596257747fa9..98438e8004dc1 100644
--- a/src/tools/tidy/src/allowed_run_make_makefiles.txt
+++ b/src/tools/tidy/src/allowed_run_make_makefiles.txt
@@ -84,7 +84,6 @@ run-make/issue-37839/Makefile
 run-make/issue-40535/Makefile
 run-make/issue-47384/Makefile
 run-make/issue-47551/Makefile
-run-make/issue-51671/Makefile
 run-make/issue-68794-textrel-on-minimal-lib/Makefile
 run-make/issue-69368/Makefile
 run-make/issue-83045/Makefile
diff --git a/tests/run-make/issue-51671/app.rs b/tests/run-make/bin-emit-no-symbols/app.rs
similarity index 100%
rename from tests/run-make/issue-51671/app.rs
rename to tests/run-make/bin-emit-no-symbols/app.rs
diff --git a/tests/run-make/bin-emit-no-symbols/rmake.rs b/tests/run-make/bin-emit-no-symbols/rmake.rs
new file mode 100644
index 0000000000000..5586e53c05084
--- /dev/null
+++ b/tests/run-make/bin-emit-no-symbols/rmake.rs
@@ -0,0 +1,16 @@
+// When setting the crate type as a "bin" (in app.rs),
+// this could cause a bug where some symbols would not be
+// emitted in the object files. This has been fixed, and
+// this test checks that the correct symbols have been successfully
+// emitted inside the object files.
+// See https://github.com/rust-lang/rust/issues/51671
+
+use run_make_support::{llvm_readobj, rustc};
+
+fn main() {
+    rustc().emit("obj").input("app.rs").run();
+    let out = llvm_readobj().input("app.o").arg("--symbols").run();
+    out.assert_stdout_contains("rust_begin_unwind");
+    out.assert_stdout_contains("rust_eh_personality");
+    out.assert_stdout_contains("__rg_oom");
+}
diff --git a/tests/run-make/issue-51671/Makefile b/tests/run-make/issue-51671/Makefile
deleted file mode 100644
index c93645369928c..0000000000000
--- a/tests/run-make/issue-51671/Makefile
+++ /dev/null
@@ -1,9 +0,0 @@
-include ../tools.mk
-
-# ignore-windows-msvc
-
-all:
-	$(RUSTC) --emit=obj app.rs
-	nm $(TMPDIR)/app.o | $(CGREP) rust_begin_unwind
-	nm $(TMPDIR)/app.o | $(CGREP) rust_eh_personality
-	nm $(TMPDIR)/app.o | $(CGREP) __rg_oom