[Bug] Pulsar zookeeper frequently generates log and snapshot files during operation

### Search before asking

- [X] I searched in the [issues](https://github.com/apache/pulsar/issues) and found nothing similar.

### Version

2.8.1

### Minimal reproduce step

1、Use the native zookeeper of pulsar
2、Pulsar cluster is running normally.

### What did you expect to see?

Pulsar zookeeper generates log and snapshot files at normal frequency.

### What did you see instead?

Pulsar zookeeper frequently generates log and snapshot files during operation.

### Anything else?

_No response_

### Are you willing to submit a PR?

- [ ] I'm willing to submit a PR!

Start by reproducing the behavior with Pulsar 2.8.1 using its native ZooKeeper while the cluster runs normally. Inspect the reported log and snapshot generation frequency and compare it with the expected normal frequency shown in the issue; done means the excessive generation is explained and corrected with regression evidence.

Written by the indexing model from the issue text.