[JsonResponse] Silent only JSON errors

| Q             | A
| ------------- | ---
| Bug fix?      | yes
| New feature?  | no
| BC breaks?    | no
| Deprecations? | no
| Tests pass?   | maybe
| Fixed tickets | #11415
| License       | MIT
| Doc PR        | n/a
you would need to catch exception, restore the error handler and rethrow, to ensure it is done even if the another error happens and throws an exception