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 (
    10637, 10807, 10634, 7038, 24218, 24220, 
    24221, 24222, 24223, 8225, 10597, 10276, 
    10982, 10081, 10085, 7111, 10178, 9341, 
    11506, 24219
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'uk' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00081

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "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 (10637,10807,10634,7038,24218,24220,24221,24222,24223,8225,10597,10276,10982,10081,10085,7111,10178,9341,11506,24219) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'uk' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
        }
      }
    ]
  }
}

Result

product_id seo_name seo_path
7038 plastivci-yuki-hameleon-9 385/529
7111 plastivci-yuki-sini-1-g 385/529
8225 dekor-romb-hameleon-uk 385/529
9341 folga-dlya-dizaynu-zolota 385/529
10081 plastivci-yuki-zoloto 385/529
10085 dekor-dlya-nogtey-21-temnoe-zoloto 385/529
10178 plastivci-yuki-sriblo 385/529
10276 plastivci-yuki-galaktika-zoloti 385/529
10597 plastivci-yuki-buzkovi-1-g 385/529
10634 plastivci-yuki-hameleon-8 385/529
10637 plastivci-yuki-hameleon-10 385/529
10807 plastivci-yuki-hameleon-7 385/529
10982 plastivci-yuki-galaktika-sriblo 385/529
11506 gliter-dlya-dizaynu-nigtiv-silver-stripes 385/529
24218 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-02-0-2-g-uk 385/529
24219 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-01-0-2-g-uk 385/529
24220 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-03-0-2-g-uk 385/529
24221 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-04-0-2-g-uk 385/529
24222 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-05-0-2-g-uk 385/529
24223 suhi-bliskitki-dlya-nigtiv-youarecute-magic-sparkles-06-0-2-g-uk 385/529