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 (
    12527, 12521, 13099, 12514, 12513, 12499, 
    12500, 12506, 12508, 12522, 12507, 
    13100, 12503, 12529, 12515, 12525, 
    12532, 12523, 12517, 12509
  ) 
  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 0.00075

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 (12527,12521,13099,12514,12513,12499,12500,12506,12508,12522,12507,13100,12503,12529,12515,12525,12532,12523,12517,12509) 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
12499 podushka-dekorativnaya-impulse-03-30x50 265/271/275
12500 podushka-dekorativnaya-impulse-03-50x50 265/271/275
12503 podushka-dekorativnaya-persona-11-45h45 265/271/275
12506 podushka-dekorativnaya-inspiration-plain-11-45h45 265/271/275
12507 podushka-dekorativnaya-krasota-17-cherno-belyy-kant-50h50 265/271/275
12508 podushka-dekorativnaya-krasota-12-50h50 265/271/275
12509 podushka-dekorativnaya-vista-03-chernyy-kant-50h50 265/271/275
12513 podushka-dekorativnaya-empire-21-belyy-kant-30h50 265/271/275
12514 podushka-dekorativnaya-divo-04-belyy-kant-50h50 265/271/275
12515 podushka-dekorativnaya-ribbon-02-chernyy-kant-50h50 265/271/275
12517 podushka-dekorativnaya-vista-02-belyy-kant-50h50 265/271/275
12521 podushka-dekorativnaya-del-vento-01-30h50 265/271/275
12522 podushka-dekorativnaya-krasota-17-cherno-belyy-kant-30h50 265/271/275
12523 podushka-dekorativnaya-ribbon-03-chernyy-kant-50h50 265/271/275
12525 podushka-dekorativnaya-ribbon-03-belyy-kant-50h50 265/271/275
12527 podushka-dekorativnaya-aurora-02-seryy-kant-30h50 265/271/275
12529 podushka-dekorativnaya-ribbon-02-chernyy-kant-30h50 265/271/275
12532 podushka-dekorativnaya-ribbon-03-chernyy-kant-30h50 265/271/275
13099 podushka-dekorativnaya-divo-04-belyy-kant-30h50 265/271/275
13100 podushka-dekorativnaya-les-01-30h50 265/271/275