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 (
    1710, 752, 1545, 756, 759, 760, 777, 761, 
    742, 764, 765, 762, 763, 2902, 2904, 
    2401, 1992, 2422, 1994, 1995
  ) 
  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 0.00093

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "28.01"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 40,
      "rows_produced_per_join": 40,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1710,752,1545,756,759,760,777,761,742,764,765,762,763,2902,2904,2401,1992,2422,1994,1995)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "24.01",
        "eval_cost": "4.00",
        "prefix_cost": "28.01",
        "data_read_per_join": "67K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
742 paket-tipa-mayka-3016h55-naik-rozovyy-22-h1000 302/306
752 paket-mayka-3016h55-siniy-bez-risunka-9-1000 302/306
756 paket-mayka-3018h55-yagodka-melkaya-7-stm-h1000 302/306
759 paket-mayka-3218h60-zheltyy-h1000 302/306
760 paket-mayka-3218h60-zheltyy-19-mkm-h1000 302/306
761 paket-mayka-3618h60-balzam-1000-tgr 302/306
762 paket-mayka-42h70-belaya-15-rossiya 302/306
763 paket-mayka-42h70-chernaya-rossiya 302/306
764 paket-mayka-43h68-bwn-h700 302/306
765 paket-mayka-43h68-bwn-h1000 302/306
777 paket-pe-tipa-mayka-3224h60-14-dlya-perenoski-korobok-prozrachnyy-h1000-rossiya 302/306
1545 paket-mayka-3016h55-chernyy-bez-risunka-8-1000 302/306
1710 paket-mayka-3016h55-produkty-cvet-chernyy-100-1000 302/306
1992 paket-pe-s-vyrubnoy-ruchkoy-30h40-50-interpak-goroshek-rossiya 302/308
1994 paket-pe-s-vyrubnoy-ruchkoy-31h40-60-artplast-glyanec-elison-rossiya 302/308
1995 paket-pe-s-vyrubnoy-ruchkoy-31h406-60-tiko-glyanec-goroh-podarochnyy-rossiya 302/308
2401 paket-pe-s-vyrubnoy-neusilennoy-ruchkoy-20h30sm-30-anyutiny-glazki-tiko-h100-3000 302/308
2422 paket-pe-s-vyrubnoy-ruchkoy-30h40sm-30-skarlett-interpak-h50-1000 302/308
2902 paket-podarochnyy-premium-miks-231810-230g-1-20 302/307
2904 paket-podarochnyy-odnotonnyy-v-ramke-miks-182310-210g-1-20 302/307