SELECT 
  seo_names.object_id AS product_id, 
  seo_names.name AS seo_name, 
  seo_names.path AS seo_path 
FROM 
  seo_names 
WHERE 
  seo_names.object_id IN (
    265842, 265500, 265492, 265498, 265488, 
    265489, 265493, 265857, 265847, 265852, 
    265858, 265851
  ) 
  AND seo_names.type = "p" 
  AND seo_names.dispatch = "" 
  AND seo_names.lang_code = 'en'

Query time 0.00166

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "12.37"
    },
    "table": {
      "table_name": "seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code"
      ],
      "key_length": "206",
      "rows_examined_per_scan": 12,
      "rows_produced_per_join": 12,
      "filtered": "100.00",
      "cost_info": {
        "read_cost": "11.17",
        "eval_cost": "1.20",
        "prefix_cost": "12.37",
        "data_read_per_join": "20K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ],
      "attached_condition": "((`goimagine`.`seo_names`.`object_id` in (265842,265500,265492,265498,265488,265489,265493,265857,265847,265852,265858,265851)) and (`goimagine`.`seo_names`.`type` = 'p') and (`goimagine`.`seo_names`.`dispatch` = '') and (`goimagine`.`seo_names`.`lang_code` = 'en'))"
    }
  }
}

Result

product_id seo_name seo_path
265488 alpaca-dryer-balls 4/6644
265489 alpaca-dryer-ball-set 4/45
265492 paca-punch 4
265493 wild-bird-nesting-fiber 4
265498 drop-spindle 23/36
265500 drop-spindle-kit 23/36
265842 alpaca-hats 3/86/388
265847 grey-shawl-with-pink-hearts 3/84/381
265851 alpaca-yarn-beige 8/41/6776
265852 alpaca-yarn-patina 8/41/6776
265857 alpaca-yarn-cranberry-twist 8/41/6776
265858 alpaca-yarn-twisted-shadows 8/41/6776