I noticed that if database has no traffic, it will not throw any enqueued errors: https://github.com/debezium/debezium/blob/bd0c760d9f3cd3f8889283889272f10d91d1bce2/debezium-core/src/main/java/io/debezium/connector/base/ChangeEventQueue.java#LL256C24-L256C36

This means that the task will keep running even though it should throw an error when there is no traffic

In my case, the fact that the connector task didn't fail caused my connector task to stop running.