### 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_
bucket_arn = arns.s3_bucket_arn(s3_bucket)
            
            kinesis_create_stream(StreamName=stream_name, ShardCount=2)
            stream_arn = aws_client.kinesis.describe_stream(StreamName=stream_name)[
                "StreamDescription"
            ]["StreamARN"]
            kinesis_stream_source_def = {
                "KinesisStreamARN": stream_arn,
                "RoleARN": role_arn,
            }
            opensearch_destination_configuration = {
                "RoleARN": role_arn,
                "DomainARN": opensearch_arn,
                "IndexName": "activity",
                "TypeName": "activity",
                "S3BackupMode": "AllDocuments",
                "S3Configuration": {
                    "RoleARN": role_arn,
                    "BucketARN": bucket_arn,
                },
            }
            aws_client.firehose.create_delivery_stream(
                DeliveryStreamName=delivery_stream_name,
                DeliveryStreamType="KinesisStreamAsSource",
                KinesisStreamSourceConfiguration=kinesis_stream_source_def,
                AmazonopensearchserviceDestinationConfiguration=opensearch_destination_configuration,
            )
            
            def check_stream_state():