The collection seems that is still going under balancing.
Starting from MongoDB 6.0+ the balancer aim to have a collection equally distributed in term of data size over the shards (read more here)
The shard cold_shard_5 has more data than other shards (~ 145GB more) and orphans document that will get deleted.
If you periodically check the output of $shardedDataDistribution you should see the number of numOwnedDocuments for cold_shard_5 decrease with the time until all the shards have approximately the same amount of data.