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 (
    7605, 10557, 13140, 10424, 20396, 8238, 
    6855, 10403, 19243, 7332, 23065, 10293, 
    10360, 10373, 22528, 19132, 7590
  ) 
  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 0.00181

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": 34,
          "filtered": 100,
          "index_condition": "cscart_seo_names.object_id in (7605,10557,13140,10424,20396,8238,6855,10403,19243,7332,23065,10293,10360,10373,22528,19132,7590) 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
6855 glitter-chorna-nich 385/589
7332 komilfo-bulonki-metalevi-sriblo-0.4-mm-6-gram 385/589
7590 perli-dlya-nigtiv-25-mm-perlamutroviy-100-sht 385/589
7605 bulonki-metalevi-mix-rozmir-zoloto-sriblo 385/589
8238 gliter-dlya-dizaynu-nigtiv-perlinove-syayvo 385/589
10293 bulonki-metalevi-sriblo-lilly-beaute 385/589
10360 strazi-figurni-2-sht 385/589
10373 trafaret-dlya-nigtiv-vs-nails-050 385/589
10403 strazi-dlya-nigtiv-biryuza-11-mm-1440-sht 385/589/590
10424 bulonki-sribni-miks-rozmir 385/589
10557 bulonki-metalevi-rozheve-zoloto 385/589
13140 bulonki-metalevi-miks-rozmir-zoloto 385/589
19132 nabir-metalevih-prikras-dlya-nigtiv-gold-zoloto-uk 385/589
19243 nabir-perliv-v-karuseli-uk 385/589
20396 dekor-dlya-nigtiv-pushok-na-magnitah-5-sht-uk 385/589
22528 nabir-dekoru-kviti-12-koloriv-uk 385/589
23065 bulonki-metalevi-kolorovi-miks-rozmir-uk 385/589/590