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 (
    405571, 405575, 405598, 406298, 406305, 
    406306, 406333, 406355, 406870, 406871, 
    406883, 406888
  ) 
  AND seo_names.type = "p" 
  AND seo_names.dispatch = "" 
  AND seo_names.lang_code = 'en'

Query time 0.00086

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "12.49"
    },
    "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": "11.30",
        "eval_cost": "1.20",
        "prefix_cost": "12.50",
        "data_read_per_join": "20K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ],
      "attached_condition": "((`goimagine`.`seo_names`.`object_id` in (405571,405575,405598,406298,406305,406306,406333,406355,406870,406871,406883,406888)) and (`goimagine`.`seo_names`.`type` = 'p') and (`goimagine`.`seo_names`.`dispatch` = '') and (`goimagine`.`seo_names`.`lang_code` = 'en'))"
    }
  }
}