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 (
    10317, 10322, 12572, 12575, 12571, 12573, 
    10273, 10272, 10271, 10270, 10269, 
    10268, 10267, 10266, 10265, 10264, 
    10263, 12570, 12567, 12569
  ) 
  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 0.00041

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": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10317,10322,12572,12575,12571,12573,10273,10272,10271,10270,10269,10268,10267,10266,10265,10264,10263,12570,12567,12569) 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
10263 gravitaciya-col-28 265/280/286/323
10264 gravitaciya-col-29 265/280/286/323
10265 gravitaciya-col-30 265/280/286/323
10266 gravitaciya-col-31 265/280/286/323
10267 gravitaciya-col-32 265/280/286/323
10268 gravitaciya-col-33 265/280/286/323
10269 gravitaciya-col-34 265/280/286/323
10270 gravitaciya-col-35 265/280/286/323
10271 gravitaciya-col-36 265/280/286/323
10272 gravitaciya-col-37 265/280/286/323
10273 gravitaciya-col-38 265/280/286/323
10317 magnifico-col-05 265/280/439/1643
10322 magnifico-plain-col-05 265/280/439/1643
12567 belgiyskiy-kover-apatite-80x125 265/266/278
12569 belgiyskiy-kover-chic-80x125 265/266/278
12570 belgiyskiy-kover-bauhaus-80x125 265/266/277
12571 belgiyskiy-kover-shabby-200x300 265/266/267
12572 belgiyskiy-kover-plaza-160x230 265/266/278
12573 belgiyskiy-kover-andromeda-200x300 265/266/267
12575 belgiyskiy-kover-florense-160x230 265/266/267