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 (
    13016, 13017, 13018, 13019, 13020, 13021, 
    13022, 13023, 13024, 13025, 13026, 
    13027, 13028, 13029, 13030, 10688, 
    10727, 10728, 10729, 10730, 10731, 
    10732, 10733, 10313, 10314, 10315, 
    10316, 10317, 10318, 10319, 10320, 
    10321
  ) 
  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 0.00074

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": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (13016,13017,13018,13019,13020,13021,13022,13023,13024,13025,13026,13027,13028,13029,13030,10688,10727,10728,10729,10730,10731,10732,10733,10313,10314,10315,10316,10317,10318,10319,10320,10321) 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)"
    }
  }
}