SELECT 
  id_path 
FROM 
  q_categories c 
  JOIN q_category_vendor_product_count p USING(category_id) 
WHERE 
  p.company_id = 33

Query time 0.00040

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "36.65"
    },
    "nested_loop": [
      {
        "table": {
          "table_name": "p",
          "access_type": "ref",
          "possible_keys": [
            "PRIMARY"
          ],
          "key": "PRIMARY",
          "used_key_parts": [
            "company_id"
          ],
          "key_length": "4",
          "ref": [
            "const"
          ],
          "rows_examined_per_scan": 25,
          "rows_produced_per_join": 25,
          "filtered": "100.00",
          "using_index": true,
          "cost_info": {
            "read_cost": "1.65",
            "eval_cost": "5.00",
            "prefix_cost": "6.65",
            "data_read_per_join": "400"
          },
          "used_columns": [
            "company_id",
            "category_id"
          ]
        }
      },
      {
        "table": {
          "table_name": "c",
          "access_type": "eq_ref",
          "possible_keys": [
            "PRIMARY",
            "p_category_id"
          ],
          "key": "PRIMARY",
          "used_key_parts": [
            "category_id"
          ],
          "key_length": "3",
          "ref": [
            "portal.p.category_id"
          ],
          "rows_examined_per_scan": 1,
          "rows_produced_per_join": 25,
          "filtered": "100.00",
          "cost_info": {
            "read_cost": "25.00",
            "eval_cost": "5.00",
            "prefix_cost": "36.65",
            "data_read_per_join": "66K"
          },
          "used_columns": [
            "category_id",
            "id_path"
          ]
        }
      }
    ]
  }
}

Result

id_path
12/50/77/79
12/604/91
12/604/91/99
6/159/167
190/200
248
248/257/264/266
248/273/276
248/278/290
248/302/303/323
248/302/303/323/329
248/302/330/352
248/361/364
248/361/391
248/361/392
248/393
207/469/470/475
248/544/546
12/555
248/598