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 (
    583, 1766, 2633, 1768, 2634, 605, 2218, 
    2105, 2101, 2106, 2712, 2102, 2103, 
    1456, 1397, 1398, 1499, 674, 675, 676
  ) 
  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 0.00059

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 (583,1766,2633,1768,2634,605,2218,2105,2101,2106,2712,2102,2103,1456,1397,1398,1499,674,675,676)) 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
583 konteyner-plastikovyy-10l 355/359
605 kryshka-k-alyumin.-forme-cr14l-cr15l-h1100 355/356
674 nabor-konteynerov-dlya-svch-0-46l-5sht-kaskad-kvadro 355/359
675 nabor-konteynerov-dlya-svch-0-7-3sht-pryam.-kaskad 355/359
676 nabor-konteynerov-dlya-svch-0-7-l.-3sht-kaskad-kvadro 355/359
1397 meshok-konditerskiy-h100-l 355/564
1398 meshok-konditerskiy-h100-s 355/564
1456 kryshka-chehol-dlya-pischevyh-produktov-s-pechatyu-12-shtuk-v-kartonnoy-korobke-4-sht-14sm4-sht-20sm4-sh 355/359
1499 miska-s-kryshkoy-2l 355/359
1766 kryshka-dlya-sp24l-sp44l-kart-met-100sht-2400kor 355/591
1768 kryshka-dlya-sp64l-sp74l-kart-met-1200sht-kor 355/591
2101 kryshka-karton-met-dlya-alyuminievoy-formy-410-005-razmer-213-h-122-mm-100-sht-up 355/356
2102 kryshka-karton-metalliz-dlya-alyuminievoy-formy-402-679-razmer-308-h-208-mm-100-sht-up 355/356
2103 kryshka-karton-metalliz-dlya-alyuminievoy-formy-402-680-razmer-318-h-251-mm-100-sht-up 355/356
2105 kryshka-karton-metalliz-dlya-alyuminievoy-formy-402-707-razmer-206-h-143-mm-100-sht-up 355/356
2106 kryshka-karton-metalliz-dlya-alyuminievyh-form-402-678-410-001-914-006-razmer-220-h170-mm-100-sht-u 355/356
2218 kryshka-karton-met-dlya-alyuminievoy-formy-410-004-razmer-140-h-115-mm-100-sht-up-gornica 355/356
2633 kryshka-dlya-sp62l-kart-met-100sht-up 355/591
2634 kryshka-dlya-sp94l-kart-met-100sht-up-800sht-kor 355/591
2712 kryshka-karton-met-256183-mm-1900-ml-410-023-gornica100-sht-up 355/356