diff --git a/packages/ses/src/get-anonymous-intrinsics.js b/packages/ses/src/get-anonymous-intrinsics.js
index d874eba23e..3300c66a14 100644
--- a/packages/ses/src/get-anonymous-intrinsics.js
+++ b/packages/ses/src/get-anonymous-intrinsics.js
@@ -146,7 +146,7 @@ export const getAnonymousIntrinsics = () => {
     );
   }
 
-  if (globalThis.AsyncInterator) {
+  if (globalThis.AsyncIterator) {
     intrinsics['%AsyncIteratorHelperPrototype%'] = getPrototypeOf(
       // eslint-disable-next-line @endo/no-polymorphic-call
       globalThis.AsyncIterator.from([]).take(0),
diff --git a/packages/ses/src/permits.js b/packages/ses/src/permits.js
index fe02855c9b..66c75edb5f 100644
--- a/packages/ses/src/permits.js
+++ b/packages/ses/src/permits.js
@@ -1317,7 +1317,7 @@ export const permitted = {
 
   // https://github.com/tc39/proposal-async-iterator-helpers
   '%AsyncIteratorHelperPrototype%': {
-    '[[Proto]]': 'Async%IteratorPrototype%',
+    '[[Proto]]': '%AsyncIteratorPrototype%',
     next: fn,
     return: fn,
     '@@toStringTag': 'string',
diff --git a/packages/ses/test/core-js-configuration.js b/packages/ses/test/core-js-configuration.js
new file mode 100644
index 0000000000..d0bb4ed4dd
--- /dev/null
+++ b/packages/ses/test/core-js-configuration.js
@@ -0,0 +1,3 @@
+import configurator from 'core-js/configurator.js';
+
+configurator({ USE_FUNCTION_CONSTRUCTOR: true });
diff --git a/packages/ses/test/enforce-cjs-strict.js b/packages/ses/test/enforce-cjs-strict.js
new file mode 100644
index 0000000000..651f9aa9d1
--- /dev/null
+++ b/packages/ses/test/enforce-cjs-strict.js
@@ -0,0 +1,3 @@
+import module from 'node:module';
+
+module.wrapper[0] += '"use strict";';
diff --git a/packages/ses/test/test-anticipate-async-iterator-helpers-shimmed.js b/packages/ses/test/test-anticipate-async-iterator-helpers-shimmed.js
index c16db783d0..b3cbcdeeda 100644
--- a/packages/ses/test/test-anticipate-async-iterator-helpers-shimmed.js
+++ b/packages/ses/test/test-anticipate-async-iterator-helpers-shimmed.js
@@ -1,26 +1,23 @@
-// KLUDGE HAZARD The core-js shims are written as sloppy code
-// and so introduce sloppy functions.
+import './enforce-cjs-strict.js';
+import './core-js-configuration.js';
 import 'core-js/actual/async-iterator/index.js';
-import test from 'ava';
 import '../index.js';
+import './lockdown-safe.js';
+import test from 'ava';
 
-// KLUDGE HAZARD only for testing with the sloppy modules of the
-// core-js iterator shim.
-// We mutate the permits to tolerates the sloppy functions for testing
-// by sacrificing security. The caller and arguments properties of
-// sloppy functions violate ocap encapsulation rules.
-import { AsyncFunctionInstance } from '../src/permits.js';
-
-AsyncFunctionInstance.arguments = {};
-AsyncFunctionInstance.caller = {};
-
-// Skipped because the core-js shim seems to miss the
-// actual %AsyncIteratorPrototype%,
-// so it creates a new one, causing us to fail because lockdown correctly
-// detects the conflicting definitions.
-// TODO report the bug to core-js
-test.skip('shimmed async-iterator helpers', t => {
-  lockdown();
+test('shimmed async-iterator helpers', async t => {
+  t.deepEqual(
+    await (async function* g(i) {
+      // eslint-disable-next-line no-plusplus
+      while (true) yield i++;
+    })(1)
+      .drop(1)
+      .take(5)
+      .filter(it => it % 2)
+      .map(it => it ** 2)
+      .toArray(),
+    [9, 25],
+  );
 
   const AsyncIteratorHelperPrototype = Object.getPrototypeOf(
     AsyncIterator.from([]).take(0),
diff --git a/packages/ses/test/test-anticipate-iterator-helpers-shimmed.js b/packages/ses/test/test-anticipate-iterator-helpers-shimmed.js
index f299a33d0e..9fa11e4d37 100644
--- a/packages/ses/test/test-anticipate-iterator-helpers-shimmed.js
+++ b/packages/ses/test/test-anticipate-iterator-helpers-shimmed.js
@@ -1,22 +1,11 @@
-// KLUDGE HAZARD The core-js shims are written as sloppy code
-// and so introduce sloppy functions.
+import './enforce-cjs-strict.js';
+import './core-js-configuration.js';
 import 'core-js/actual/iterator/index.js';
-import test from 'ava';
 import '../index.js';
-
-// KLUDGE HAZARD only for testing with the sloppy modules of the
-// core-js iterator shim.
-// We mutate the permits to tolerates the sloppy functions for testing
-// by sacrificing security. The caller and arguments properties of
-// sloppy functions violate ocap encapsulation rules.
-import { FunctionInstance } from '../src/permits.js';
-
-FunctionInstance.arguments = {};
-FunctionInstance.caller = {};
+import './lockdown-safe.js';
+import test from 'ava';
 
 test('shimmed iterator helpers', t => {
-  lockdown();
-
   t.deepEqual(
     (function* g(i) {
       // eslint-disable-next-line no-plusplus