diff --git a/examples/official-storybook/stories/addon-docs/container-override.stories.mdx b/examples/official-storybook/stories/addon-docs/container-override.stories.mdx
index d02730244613..cefd2c593f8e 100644
--- a/examples/official-storybook/stories/addon-docs/container-override.stories.mdx
+++ b/examples/official-storybook/stories/addon-docs/container-override.stories.mdx
@@ -1,19 +1,38 @@
-import { Meta, DocsContainer, Story } from '@storybook/addon-docs';
+import { useRef } from 'react';
+import { Meta, DocsContainer, Story, ArgsTable } from '@storybook/addon-docs';
 
 <Meta
   title="Addons/Docs/container-override"
   parameters={{
     docs: {
       // eslint-disable-next-line react/prop-types
-      container: ({ children, context }) => (
-        <DocsContainer context={context}>
-          <div style={{ border: '5px solid red' }}>{children}</div>
-        </DocsContainer>
-      ),
+      container: ({ children, context }) => {
+        const countRef = useRef();
+        countRef.current = (countRef.current || 0) + 1;
+        return (
+          <DocsContainer context={context}>
+            <div style={{ border: '5px solid red' }}>{children}</div>
+            <p>Container rendered {countRef.current} times</p>
+            <p>Try changing:</p>
+            <ul>
+              <li>the arg - story should rerender but container should not</li>
+              <li>a global (eg theme) - both should rerender</li>
+            </ul>
+          </DocsContainer>
+        );
+      },
     },
   }}
 />
 
+export const Component = () => {
+  const countRef = useRef();
+  countRef.current = (countRef.current || 0) + 1;
+  return <div>Story rendered {countRef.current} times</div>;
+};
+
 <Story name="dummy" parameters={{ layout: 'fullscreen' }}>
-  <div>some content</div>
+  <Component />
 </Story>
+
+<ArgsTable story="." />
diff --git a/lib/preview-web/src/DocsRender.ts b/lib/preview-web/src/DocsRender.ts
index d386611584e6..6eabc49f9092 100644
--- a/lib/preview-web/src/DocsRender.ts
+++ b/lib/preview-web/src/DocsRender.ts
@@ -72,12 +72,12 @@ export class DocsRender<TFramework extends AnyFramework> implements Render<TFram
     );
   }
 
-  async rerender() {
+  async rerender(isGlobals: boolean) {
     // NOTE: in modern inline render mode, each story is rendered via
     // `preview.renderStoryToElement` which means the story will track
     // its own re-renders. Thus there will be no need to re-render the whole
     // docs page when a single story changes.
-    if (!global.FEATURES?.modernInlineRender) await this.render();
+    if (!global.FEATURES?.modernInlineRender || isGlobals) await this.render();
   }
 
   async teardown({ viewModeChanged }: { viewModeChanged?: boolean } = {}) {
diff --git a/lib/preview-web/src/PreviewWeb.test.ts b/lib/preview-web/src/PreviewWeb.test.ts
index 8d58970be041..9f8d529f4818 100644
--- a/lib/preview-web/src/PreviewWeb.test.ts
+++ b/lib/preview-web/src/PreviewWeb.test.ts
@@ -686,7 +686,27 @@ describe('PreviewWeb', () => {
       expect(mockChannel.emit).toHaveBeenCalledWith(STORY_RENDERED, 'component-one--a');
     });
 
-    describe('in docs mode', () => {
+    describe('in docs mode, legacy inline render', () => {
+      it('re-renders the docs container', async () => {
+        document.location.search = '?id=component-one--a&viewMode=docs';
+
+        await createAndRenderPreview();
+
+        mockChannel.emit.mockClear();
+        emitter.emit(UPDATE_GLOBALS, { globals: { foo: 'bar' } });
+        await waitForRender();
+
+        expect(ReactDOM.render).toHaveBeenCalledTimes(2);
+      });
+    });
+
+    describe('in docs mode, modern inline render', () => {
+      beforeEach(() => {
+        global.FEATURES.modernInlineRender = true;
+      });
+      afterEach(() => {
+        global.FEATURES.modernInlineRender = false;
+      });
       it('re-renders the docs container', async () => {
         document.location.search = '?id=component-one--a&viewMode=docs';
 
@@ -982,7 +1002,7 @@ describe('PreviewWeb', () => {
         global.FEATURES.modernInlineRender = true;
       });
       afterEach(() => {
-        global.FEATURES.modernInlineRender = true;
+        global.FEATURES.modernInlineRender = false;
       });
       it('does not re-render the docs container', async () => {
         document.location.search = '?id=component-one--a&viewMode=docs';
diff --git a/lib/preview-web/src/PreviewWeb.tsx b/lib/preview-web/src/PreviewWeb.tsx
index 6c455bd2e93b..891eb1dd5337 100644
--- a/lib/preview-web/src/PreviewWeb.tsx
+++ b/lib/preview-web/src/PreviewWeb.tsx
@@ -212,7 +212,7 @@ export class PreviewWeb<TFramework extends AnyFramework> extends Preview<TFramew
   async onUpdateGlobals({ globals }: { globals: Globals }) {
     super.onUpdateGlobals({ globals });
 
-    if (this.currentRender instanceof DocsRender) await this.currentRender.rerender();
+    if (this.currentRender instanceof DocsRender) await this.currentRender.rerender(true);
   }
 
   async onUpdateArgs({ storyId, updatedArgs }: { storyId: StoryId; updatedArgs: Args }) {
@@ -223,7 +223,7 @@ export class PreviewWeb<TFramework extends AnyFramework> extends Preview<TFramew
     // of which ones were rendered by the docs page.
     // However, in `modernInlineRender`, the individual stories track their own events as they
     // each call `renderStoryToElement` below.
-    if (this.currentRender instanceof DocsRender) await this.currentRender.rerender();
+    if (this.currentRender instanceof DocsRender) await this.currentRender.rerender(false);
   }
 
   async onPreloadStories(ids: string[]) {