diff --git a/cli/CHANGELOG.md b/cli/CHANGELOG.md
index a583918ebd33..ce25595a56d1 100644
--- a/cli/CHANGELOG.md
+++ b/cli/CHANGELOG.md
@@ -7,6 +7,10 @@ _Released 09/12/2023 (PENDING)_
 
  - Introduce a status icon representing the `latest` test run in the Sidebar for the Runs Page. Addresses [#27206](https://github.com/cypress-io/cypress/issues/27206).
 
+**Bugfixes:**
+
+- Individual CDP errors that occur while capturing data for test replay will no longer prevent the entire run from being available. Addressed in [#27709](https://github.com/cypress-io/cypress/pull/27709).
+
 ## 13.0.0
 
 _Released 08/29/2023_
diff --git a/packages/server/lib/cloud/protocol.ts b/packages/server/lib/cloud/protocol.ts
index adec482ede01..98163018db0d 100644
--- a/packages/server/lib/cloud/protocol.ts
+++ b/packages/server/lib/cloud/protocol.ts
@@ -112,7 +112,7 @@ export class ProtocolManager implements ProtocolManagerShape {
             await listener(message)
           } catch (error) {
             if (CAPTURE_ERRORS) {
-              this._errors.push({ captureMethod: 'cdpClient.on', fatal: true, error, args: [event, message] })
+              this._errors.push({ captureMethod: 'cdpClient.on', fatal: false, error, args: [event, message] })
             } else {
               debug('error in cdpClient.on %O', { error, event, message })
               throw error
@@ -137,8 +137,11 @@ export class ProtocolManager implements ProtocolManagerShape {
     try {
       this._beforeSpec(spec)
     } catch (error) {
+      // Clear out protocol since we will not have a valid state when spec has failed
+      this._protocol = undefined
+
       if (CAPTURE_ERRORS) {
-        this._errors.push({ captureMethod: 'beforeSpec', error, args: [spec], runnableId: this._runnableId })
+        this._errors.push({ captureMethod: 'beforeSpec', fatal: true, error, args: [spec], runnableId: this._runnableId })
       } else {
         throw error
       }