SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    428834, 405512, 404978, 426945, 420898, 
    422954, 444490, 425997, 453668, 448981, 
    430278, 401703
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en'

Query time 0.00091

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.0237706,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_seo_names",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "dispatch"],
          "key": "PRIMARY",
          "key_length": "206",
          "used_key_parts": ["object_id", "type", "dispatch", "lang_code"],
          "loops": 1,
          "rows": 12,
          "cost": 0.0237706,
          "filtered": 100,
          "attached_condition": "cscart_seo_names.object_id in (428834,405512,404978,426945,420898,422954,444490,425997,453668,448981,430278,401703) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'en'"
        }
      }
    ]
  }
}

Result

product_id seo_name seo_path
401703 mini-chair-562 287/304/305
404978 mini-camera-768 287/304/305
405512 mini-camera-668 287/304/305
420898 mini-camera-860 287/304/305
422954 mini-camera-962 287/304/305
425997 mini-chair-250 287/304/305
426945 mini-camera-804 287/304/305
428834 mini-camera-544 287/304/305
430278 mini-chair-309 287/304/305
444490 mini-chair-123 287/304/305
448981 mini-chair-300 287/304/305
453668 mini-chair-283 287/304/305