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 (
    10814, 10813, 13044, 13043, 13042, 13041, 
    13040, 13039, 13038, 13037, 13036, 
    13035, 13034, 13033, 13032, 13031, 
    13030, 13029, 13028, 13027
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00084

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10814,10813,13044,13043,13042,13041,13040,13039,13038,13037,13036,13035,13034,13033,13032,13031,13030,13029,13028,13027) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
10813 empire-col-10 265/280/291/1672
10814 empire-col-11 265/280/291/1672
13027 les-plain-col-06 265/280/291/1683
13028 les-plain-col-07 265/280/301
13029 les-plain-col-08 265/280/291/1683
13030 les-plain-col-09 265/280/291/1683
13031 fantastika-col-01 265/280/301
13032 fantastika-col-02 265/280/301
13033 fantastika-col-03 265/280/301
13034 fantastika-col-04 265/280/301
13035 fantastika-col-05 265/280/301
13036 fantastika-col-06 265/280/301
13037 fantastika-col-07 265/280/301
13038 fantastika-col-08 265/280/301
13039 fantastika-col-09 265/280/301
13040 fantastika-col-10 265/280/301
13041 fantastika-col-11 265/280/301
13042 fantastika-col-12 265/280/301
13043 fantastika-col-13 265/280/301
13044 fantastika-col-14 265/280/301