Does it make sense to add timestamp in "index sorting"?

The documentation suggests using low cardinality field(s) for index sorting.
We often search documents with some low cardinality ID (like site or org) and then with timestamp.
Does it make sense to include timestamp in the mix?
I am paying a little bit overhead for the write with "index sorting". If I can't get much out of it, I will remove timestamp to gain back the write performance.

Any suggestions will be highly appreciated.

Index sorting on a field is good for 2 things: to reduce disk usage and speed up queries with sort on this field. Disk space is reduced because we can efficiently compress the same values, but this would not help timestamp field, as I expect this field will have all unique values. So there are no benefits here for timestamp field.
You can speed up sort queries but only in one direction, if your index is sorted by timestamp desc, only these queries with sort timestamp desc will be faster, queries on timestamp asc will not be.

Moreover, in the newer version of Elasticsearch, we have implemented automatic sort optimizations on timestamp field both asc and desc, so you don't need index sorting there as well, sort queries on timestamp should be quite fast.

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Thanks. I will remove it for our deployment.