diff --git a/conda_forge_tick/migrators/cstdlib.py b/conda_forge_tick/migrators/cstdlib.py
index 2fd327622..6bc39c79e 100644
--- a/conda_forge_tick/migrators/cstdlib.py
+++ b/conda_forge_tick/migrators/cstdlib.py
@@ -49,14 +49,9 @@ def _process_section(name, attrs, lines):
         reqs = filtered[0].get("requirements", {})
 
     build_reqs = reqs.get("build", set()) or set()
-    global_build_reqs = global_reqs.get("build", set()) or set()
 
-    # either there's a compiler in the output we're processing, or the
-    # current output has no build-section but relies on the global one
+    # check if there's a compiler in the output we're processing
     needs_stdlib = any(pat_stub.search(x or "") for x in build_reqs)
-    needs_stdlib |= not bool(build_reqs) and any(
-        pat_stub.search(x or "") for x in global_build_reqs
-    )
     # see more computation further down depending on dependencies
     # ignored due to selectors, where we need the line numbers below.
 
@@ -164,17 +159,13 @@ def _process_section(name, attrs, lines):
         # no build section, need to add it
         to_insert = indent[:-2] + "build:\n" + to_insert
 
-    line_insert = 0
-    if line_compiler:
-        # by default, we insert directly after the compiler
-        line_insert = line_compiler + 1
-    # if there's no compiler, try to insert (in order of preference)
-    # before the sections for host, run, run_constrained, test
-    line_insert = line_insert or line_host or line_run or line_constrain or line_test
-    if not line_insert:
-        raise RuntimeError("Don't know where to insert build section!")
+    if not line_compiler:
+        raise RuntimeError("This shouldn't be possible!")
 
+    # by default, we insert directly after the compiler
+    line_insert = line_compiler + 1
     lines = lines[:line_insert] + [to_insert] + lines[line_insert:]
+
     if line_compiler_c and line_compiler_m2c:
         # we have both compiler("c") and compiler("m2w64_c"), likely with complementary
         # selectors; add a second stdlib line after m2w64_c with respective selector
diff --git a/tests/test_yaml/stdlib_rdkit_after_meta.yaml b/tests/test_yaml/stdlib_rdkit_after_meta.yaml
index 56893bac2..66fe5a08a 100644
--- a/tests/test_yaml/stdlib_rdkit_after_meta.yaml
+++ b/tests/test_yaml/stdlib_rdkit_after_meta.yaml
@@ -85,8 +85,6 @@ outputs:
   - name: rdkit-dev
     script: install_rdkit_dev.bat  # [win]
     requirements:
-      build:
-        - {{ stdlib("c") }}
       run:
         - rdkit
     test: