diff --git a/.changeset/gentle-cows-yell.md b/.changeset/gentle-cows-yell.md
new file mode 100644
index 0000000..9a4fed2
--- /dev/null
+++ b/.changeset/gentle-cows-yell.md
@@ -0,0 +1,5 @@
+---
+"@arethetypeswrong/core": patch
+---
+
+Fix a false positive of FalseExportDefault on packages that assign both to module.exports and module.exports.default
diff --git a/packages/cli/test/snapshots/ajv@8.12.0.tgz.md b/packages/cli/test/snapshots/ajv@8.12.0.tgz.md
index 1cd39cf..62c4ba8 100644
--- a/packages/cli/test/snapshots/ajv@8.12.0.tgz.md
+++ b/packages/cli/test/snapshots/ajv@8.12.0.tgz.md
@@ -4,16 +4,16 @@
 $ attw ajv@8.12.0.tgz -f table-flipped
 
 
-❗️ The resolved types use export default where the JavaScript file appears to use module.exports =. This will cause TypeScript under the node16 module mode to think an extra .default property access is required, but that will likely fail at runtime. These types should use export = instead of export default. https://github.com/arethetypeswrong/arethetypeswrong.github.io/blob/main/docs/problems/FalseExportDefault.md
+ No problems found 🌟
 
 
-┌───────┬────────┬───────────────────┬──────────────────────────────┬─────────┐
-│       │ node10 │ node16 (from CJS) │ node16 (from ESM)            │ bundler │
-├───────┼────────┼───────────────────┼──────────────────────────────┼─────────┤
-│ "ajv" │ 🟢     │ 🟢 (CJS)          │ ❗️ Incorrect default export │ 🟢      │
-└───────┴────────┴───────────────────┴──────────────────────────────┴─────────┘
+┌───────┬────────┬───────────────────┬───────────────────┬─────────┐
+│       │ node10 │ node16 (from CJS) │ node16 (from ESM) │ bundler │
+├───────┼────────┼───────────────────┼───────────────────┼─────────┤
+│ "ajv" │ 🟢     │ 🟢 (CJS)          │ 🟢 (CJS)          │ 🟢      │
+└───────┴────────┴───────────────────┴───────────────────┴─────────┘
 
 
 ```
 
-Exit code: 1
\ No newline at end of file
+Exit code: 0
\ No newline at end of file
diff --git a/packages/core/src/checks/entrypointResolutionProblems.ts b/packages/core/src/checks/entrypointResolutionProblems.ts
index 65387f1..7e2a25c 100644
--- a/packages/core/src/checks/entrypointResolutionProblems.ts
+++ b/packages/core/src/checks/entrypointResolutionProblems.ts
@@ -82,7 +82,12 @@ export function getEntrypointResolutionProblems(
       }
       const jsExports = jsSourceFile?.symbol?.exports;
       if (typesExports && jsExports) {
-        if (typesExports.has(ts.InternalSymbolName.Default) && jsExports.has(ts.InternalSymbolName.ExportEquals)) {
+        if (
+          typesExports.has(ts.InternalSymbolName.Default) &&
+          !typesExports.has(ts.InternalSymbolName.ExportEquals) &&
+          jsExports.has(ts.InternalSymbolName.ExportEquals) &&
+          !jsExports.has(ts.InternalSymbolName.Default)
+        ) {
           // Also need to check for `default` property on `jsModule["export="]`?
           problems.push({
             kind: "FalseExportDefault",
diff --git a/packages/core/test/snapshots/ajv@8.12.0.tgz.md b/packages/core/test/snapshots/ajv@8.12.0.tgz.md
index 93d6620..b5ae95a 100644
--- a/packages/core/test/snapshots/ajv@8.12.0.tgz.md
+++ b/packages/core/test/snapshots/ajv@8.12.0.tgz.md
@@ -3,11 +3,5 @@
 ## Problems
 
 ```json
-[
-  {
-    "kind": "FalseExportDefault",
-    "entrypoint": ".",
-    "resolutionKind": "node16-esm"
-  }
-]
+[]
 ```
\ No newline at end of file