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 (
    10712, 10301, 10302, 10303, 10304, 10425, 
    10426, 10427, 10428, 10429, 10430, 
    10431, 10432, 10433, 10434, 10435
  ) 
  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 0.00053

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": 32,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10712,10301,10302,10303,10304,10425,10426,10427,10428,10429,10430,10431,10432,10433,10434,10435) 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
10301 flashback-col-01 265/280/291/1644
10302 flashback-col-02 265/280/291/1644
10303 flashback-col-03 265/280/291/1644
10304 flashback-col-04 265/280/291/1644
10425 fly-col-01 265/280/286/1651
10426 fly-col-02 265/280/286/1651
10427 fly-col-03 265/280/286/1651
10428 fly-col-04 265/280/286/1651
10429 fly-col-05 265/280/286/1651
10430 fly-col-06 265/280/286/1651
10431 fly-col-07 265/280/286/1651
10432 fly-col-08 265/280/286/1651
10433 fly-col-09 265/280/286/1651
10434 fly-col-10 265/280/286/1651
10435 fly-col-11 265/280/286/1651
10712 flame-col-09 265/280/291/1662