After SERVER-107260 restored the execution of the analyze_shard_key.js FSM workload against sharded clusters, the test started suffering a new class of spurious failures in suites with balancer enabled: in situations where the primary shard owns a single chunk containing very few documents (according to the local catalog's fastCount method), the sampling logic may fail to collect the needed data.

The purpose of this ticket is to verify whether such a kind of failure falls within the expectations set by the test.