Can the 'Total Time in Status' field be JQL searchable?
Unfortunately, this feature is not available due to the nature of how Jira search works.
Currently, Lucene-based Jira search works through indexes which are updated when the Issue is edited. This facilitates and speeds-up the search.
Issue History Collector SLA field is a Calculable Custom Field that changes its value every millisecond. We get the value of this field only at the moment when it is addressed (or displayed/modified). If the Issue has not been accessed (edited) for a while - the index value in Lucene will 'remember' only its last state (which may be a years ago). So, query results can not be considered as correct.