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 (
    10744, 10745, 10746, 10739, 10740, 10741, 
    10742, 10734, 10735, 10736, 10737, 
    10738, 10688, 10727, 10728, 10729
  ) 
  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 0.00065

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 (10744,10745,10746,10739,10740,10741,10742,10734,10735,10736,10737,10738,10688,10727,10728,10729) 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
10688 luna-col-01 265/280/439/1664
10727 luna-col-02 265/280/439/1664
10728 luna-col-03 265/280/439/1664
10729 luna-col-04 265/280/439/1664
10734 angora-col-01 265/280/286/1665
10735 angora-col-02 265/280/286/1665
10736 angora-col-03 265/280/286/1665
10737 angora-col-04 265/280/286/1665
10738 angora-col-05 265/280/286/1665
10739 desert-col-01 265/280/283/1669
10740 desert-col-02 265/280/283/1669
10741 desert-col-03 265/280/283/1669
10742 desert-plain 265/280/283/1669
10744 intellect-col-01 265/280/439/1668
10745 intellect-col-02 265/280/439/1668
10746 intellect-col-03 265/280/439/1668