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 (
    2410, 1600, 2715, 2851, 2548, 466, 2522, 
    2232, 2826, 467, 468, 2591, 2381, 2142, 
    601, 1400, 2143, 2411, 610
  ) 
  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 0.00103

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 (2410,1600,2715,2851,2548,466,2522,2232,2826,467,468,2591,2381,2142,601,1400,2143,2411,610)) 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
466 vilka-185-chernaya-48-2016 290/293/580
467 vilki-10sht-77013 290/292
468 vilki-10sht-yud-0125 290/292
601 kryshka-80mm-tl80-rossiya-h1000-chernaya 290/565
610 kryshka-sheyker-kupolnaya-s-otver-95mm-pet-stp-h1000-rossiya 290/569
1400 kryshka-f80mm-s-zakrytym-piteynikom-chernaya-100-1000 290/565
1600 400-ml-stakan-prozrachnyy-95-mm-pet-sheyker-stp-h100-1000-rossiya 290/569
2142 kryshka-80-mm-rr-chernaya-d-stakanov-bum-zakryv-nosik-50-1000sht-kor-vzlp 290/565
2143 kryshka-90-mm-rr-chernaya-d-stakanov-bum-zakryv-nosik-50-1000sht-kor-vzlp 290/565
2232 vilka-derevyannaya-160291-6-mm-100sht-up 290/575
2381 kovrik-dlya-prigotovleniya-rollov-i-sushi-cinovka-bambukovyy-rolik-27-sm 290/575
2410 200-ml-stakan-sheyker-pet-d95mm-cvet-prozr-200ml-stp-h50-1000 290/569
2411 kryshka-k-sheykeru-kupolnaya-bez-otver-pet-d95mm-cvet-prozr-stp-h50-1000 290/569
2522 vilka-180-mm-kristall-cvet-prozrachnyy-vzlp-50-2500 290/293/580
2548 vilka-165-mm-stolovayakompakt-ps-cvet-chernyy-h100-2000 290/293/580
2591 vilki-stolovye-18-sm-premium-nabor-10-sht-770474 290/292
2715 400-ml-stakan-sheyker-d95-mm-400-ml-s-kryshkoy-uyu-50-1000 290/569
2826 vilka-stolovaya-10-sht-nabor-vil-1-300 290/292
2851 vilka-165-mm-stolovaya-kompakt-ps-cvet-belyy-ozlp-vzlp-1-100 290/293/580