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 (
    1412, 2686, 2753, 2742, 2698, 2699, 586, 
    587, 588, 589, 590, 1271, 2230, 2452, 
    2139, 1869, 2796, 2797, 2484
  ) 
  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 0.00151

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "26.61"
    },
    "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": 38,
      "rows_produced_per_join": 38,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1412,2686,2753,2742,2698,2699,586,587,588,589,590,1271,2230,2452,2139,1869,2796,2797,2484)) 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": "22.81",
        "eval_cost": "3.80",
        "prefix_cost": "26.61",
        "data_read_per_join": "64K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
586 konteyner-pryamoug-10882-mm-uyu-125-ml 294/300
587 konteyner-pryamoug-10882-mm-uyu-200-ml 294/300
588 konteyner-pryamoug-10882-mm-uyu-250-ml 294/300
589 konteyner-pryamoug.-108h82-mm-uyu-350-ml.-rossiya 294/300
590 konteyner-pryamoug.-108h82-mm-uyu-500ml-rossiya 294/300
1271 korreks-k-2308-55v-2308055-pod-zelen 294/560
1412 konteyner-1261-830-ml-pr-ug-chernyy-s-prozr-kryshkoy-pp-207h140h40mm-chd-rossiya 294/598
1869 konteyner-kr-26-2-av-21511575-300-sht-kor 294/298
2139 kr-11a-konteyner-pischevoy-140-h-110-h-65-mm-up-500-sht 294/298
2230 korreks-kr-3607-2-upakovka-dlya-zeleni-komus-pet-1200-sht-up 294/560
2452 korreks-kr-2207-upakovka-dlya-zeleni-komus-pet-1170-sht-up 294/560
2484 kryshka-k-186-nizkomu-konteyneru-186132-mm-pp-1-100 294/587
2686 konteyner-1266-1000ml-s-krysh-pryamoug-212h148h70mm-cvet-chernyy-ozlp-vzlp-h150 294/598
2698 konteyner-s-kryshkoy-pryamoug-dlya-sushi-sp-19-188h134h30mm-cvet-chernyy-h1-480 294/390
2699 konteyner-s-kryshkoy-pryamoug-dlya-sushi-sp-25-242h168h25mm-cvet-chernyy-h1-300 294/390
2742 konteyner-3-h-sloynyy-dlya-sendvichey-pet-330shtuk 294/559
2753 konteyner-1267-1300ml-s-krysh-pryamoug-250h168h50mm-cvet-chernyy-ozlp-vzlp-h100 294/598
2796 konteyner-kr-6-15813767-450sht-up 294/298
2797 konteyner-kr-7-a-21513572-400sht-up 294/298