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 (
    2222, 739, 2607, 740, 2707, 744, 746, 
    747, 749, 1710, 752, 1545, 756, 759, 
    760, 777, 761, 742, 764, 765
  ) 
  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 0.00102

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 (2222,739,2607,740,2707,744,746,747,749,1710,752,1545,756,759,760,777,761,742,764,765)) 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
739 paket-mayka-2814h50-prozrachnyy-h4000 302/306
740 paket-mayka-2816h50-pingvin-stk-h4000 302/306
742 paket-tipa-mayka-3016h55-naik-rozovyy-22-h1000 302/306
744 paket-mayka-3016h55-nayk-chernyy-h1000-7 302/306
746 paket-mayka-3016h55-belyy-bez-risunka-20mkm-1000 302/306
747 paket-mayka-3016h55-belyy-bez-risunka-8-1000 302/306
749 paket-mayka-3016h55-zelennyy-bez-risunka-9-1000 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
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
2222 paket-mayka-2816h50-pnd-12mkm-3000sht-pak-spasibo-za-pokupku-belaya 302/306
2607 paket-mayka-281655-sm-250-sht-rul-v-rulone-prozrachnyy-12-rul-korob 302/306
2707 paket-mayka-2816h50-belyy14-mkm-stk-100-2000 302/306