Many of the tests in https://github.com/mongodb/mongo/tree/7e9ee5d1955a12d162eb96a8709585c689394d57/jstests/noPassthrough/queryStats feel like they could be in core/ and get passthrough coverage.

If they require replication or sharding, we should just denylist them from the appropriate suites with "requires_sharding" or "requires_replication" tags.