### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

1. Create kinesis stream with `awslocal kinesis create-stream`
2. Create two firehose delivery stream with `awslocal firehose create-delivery-stream`, both of which have `--kinesis-stream-source-configuration` to the stream created above
3. Put record to the stream
4. Only one of the delivery stream receives the message

### Expected Behavior

At the 4th step, both of the delivery stream should receive the message.
(which was true in real AWS environment.)

### How are you starting LocalStack?

With a `docker run` command

### Steps To Reproduce

#### How are you starting localstack (e.g., `bin/localstack` command, arguments, or `docker-compose.yml`)

    docker run localstack/localstack:2.3.2

#### Client commands (e.g., AWS SDK code snippet, or sequence of "awslocal" commands)

    docker exec -it admiring_chatelet bash
    (in the localstack container)
    awslocal opensearch create-domain --domain-name my-domain
    awslocal kinesis create-stream --stream-name samplestream --shard-count 2 --region dummy
    awslocal firehose create-delivery-stream --delivery-stream-name s1 --delivery-stream-type KinesisStreamAsSource --kinesis-stream-source-configuration "KinesisStreamARN=arn:aws:kinesis:us-east-1:000000000000:stream/samplestream,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/stream-role" --amazonopensearchservice-destination-configuration "ClusterEndpoint=http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566,IndexName=index1,TypeName=_doc,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/es-role,S3Configuration={RoleARN=arn:aws:iam::000000000000:role/Firehose-Reader-Role,BucketARN=arn:aws:s3:::kinesis-activity-backup-local}"
    awslocal firehose create-delivery-stream --delivery-stream-name s2 --delivery-stream-type KinesisStreamAsSource --kinesis-stream-source-configuration "KinesisStreamARN=arn:aws:kinesis:us-east-1:000000000000:stream/samplestream,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/stream-role" --amazonopensearchservice-destination-configuration "ClusterEndpoint=http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566,IndexName=index2,TypeName=_doc,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/es-role,S3Configuration={RoleARN=arn:aws:iam::000000000000:role/Firehose-Reader-Role,BucketARN=arn:aws:s3:::kinesis-activity-backup-local}"
    awslocal kinesis put-record --stream-name samplestream --data '{"test":"value"}' --partition-key 1
    curl http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566/index1/_search
    curl http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566/index2/_search

by the last two `curl`s, only one of the results shows the given data.

### Environment

```markdown
- OS: MacOS 13.2.1
- LocalStack: 2.3.2
```


### Anything else?

_No response_
role = kwargs["RoleName"]
        policy = kwargs["PolicyName"]
        role_policy = json.dumps(kwargs["RoleDefinition"])
        result = aws_client.iam.create_role(RoleName=role, AssumeRolePolicyDocument=role_policy)
        role_arn = result["Role"]["Arn"]
        policy_document = json.dumps(kwargs["PolicyDefinition"])
        aws_client.iam.put_role_policy(
            RoleName=role, PolicyName=policy, PolicyDocument=policy_document
        )
        roles[role] = policy
        return role_arn
    yield _create_role_and_policy
    for role_name, policy_name in roles.items():
        aws_client.iam.delete_role_policy(RoleName=role_name, PolicyName=policy_name)
        aws_client.iam.delete_role(RoleName=role_name)
@pytest.fixture
def firehose_create_delivery_stream(wait_for_delivery_stream_ready, aws_client):
    delivery_streams = {}
    def _create_delivery_stream(**kwargs):
        if "DeliveryStreamName" not in kwargs:
            kwargs["DeliveryStreamName"] = f"test-delivery-stream-{short_uid()}"
        delivery_stream = aws_client.firehose.create_delivery_stream(**kwargs)
        delivery_streams.update({kwargs["DeliveryStreamName"]: delivery_stream})
        wait_for_delivery_stream_ready(kwargs["DeliveryStreamName"])
        return delivery_stream
    yield _create_delivery_stream
    for delivery_stream_name in delivery_streams.keys():
        aws_client.firehose.delete_delivery_stream(DeliveryStreamName=delivery_stream_name)
@pytest.fixture
def events_create_rule(aws_client):