First of all you did not state that the search is partially working. You just stated that the search doesn't work that would imply its totally broken. Lets keep a polite tone.
What version of JIRA are you on?
This reminds me of the filter search bug for boards. https://jira.atlassian.com/browse/JSW-11403
I can SEE it right there in the first screenshot. What part of this is hard to understand?
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But you can find it in JQL search?
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