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 (536, 535, 534, 524, 523) 
  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 0.00067

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": 10,
      "filtered": 80,
      "index_condition": "cscart_seo_names.object_id in (536,535,534,524,523) 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)",
      "attached_condition": "cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0"
    }
  }
}

Result

product_id seo_name seo_path
523 bio-detoks-lisichka-zveroboy 274/271
524 kofe-active-man 274/270
534 anatomicheskaya-podushka-orbit-baby-sleep 275/287
535 anatomicheskaya-podushka-dlya-detey-doshkolnaya 275/287
536 ortopedicheskaya-podushka-ametist-anti-hrap-s-magnitami 275