The Knowledge Manager documentation states
By default, Splunk software creates each data model acceleration summary on the indexer, parallel to the bucket or buckets that cover the range of time over which the summary spans, whether the buckets that fall within that range are hot, warm, or cold. If a bucket within the summary range moves to frozen status, Splunk software removes the summary information that corresponds with the bucket when it deletes or archives the data within the bucket.
So from that I'd say they are tied together.
Dave
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