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 (
    10267, 10266, 10265, 10264, 10263, 12570, 
    12567, 12569, 12568, 10261, 10260, 
    10259, 10258, 10257, 10256, 10255, 
    10254, 10253, 10252, 10251, 10250, 
    10249, 10248, 10247, 10246, 10245, 
    10244, 10243, 10242, 10241, 10203, 
    10204, 10205, 10206, 10207, 10208, 
    10209, 10210, 10211, 10212, 10213, 
    10214, 10215, 10216, 10217, 10218, 
    10219, 10220, 10221, 10222, 10144, 
    10145, 10146, 10147, 10148, 10149, 
    10150, 10151, 10152, 12969, 10103, 
    10104, 10105, 10106
  ) 
  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 0.00124

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": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10267,10266,10265,10264,10263,12570,12567,12569,12568,10261,10260,10259,10258,10257,10256,10255,10254,10253,10252,10251,10250,10249,10248,10247,10246,10245,10244,10243,10242,10241,10203,10204,10205,10206,10207,10208,10209,10210,10211,10212,10213,10214,10215,10216,10217,10218,10219,10220,10221,10222,10144,10145,10146,10147,10148,10149,10150,10151,10152,12969,10103,10104,10105,10106) 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)"
    }
  }
}