Is it possible to return only hits with certain named query in matched_queries array if that query hitted at least one time?

[andy_v (Andy)]

Is it possible to make a search with multiple named queries (let's say named q1_important,q2,q3 etc and all are in bool query's should array) and if there is at least one hit for exactly q1_important query, then return only hits that necessarily contain q1_important in matched_queries array?
I'd like to not make additional unnecessary searches to elasticsearch but it also can't be solved in any good manner in the app's side logic without refactoring.
Example:

  "query": {
    "bool": {
      "must": [],
      "must_not": [],
      "should": [
        {
          "multi_match": {
            "query": "some_text",
            "fields": [
              "brand.NAME",
              "brand.PROP"
            ],
            "type": "best_fields",
            "_name": "q1_important"
          }
        },
        {
          "multi_match": {
            "query": "some_other_text",
            "fields": [
              "detail_text",
              "preview_text"
            ],
            "type": "best_fields",
            "_name": "q2"
          },
        {
          "multi_match": {
            "query": "some_3rd_text",
            "fields": [
              "detail_text",
              "preview_text"
            ],
            "type": "best_fields",
            "_name": "q3"
          }
        }
      ]
    }
  },
  "from": 0,
  "size": 10,
  "sort": [],
  "aggs": {}
}

So if there is at least one hit with q1_important in matched_queries then I want to get only results with matched_queries containing q1_important (like ["q1_important"] or ["q1_important", "q2"] or ["q1_important", "q2", "q3"] etc. and no results like ["q2"], ["q2", "q3"])
else
get all other variants with q2, q3.
Thanks in advance for any help!