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 (
    623, 2380, 2221, 2773, 634, 624, 2736, 
    636, 2321, 2859, 1708, 631, 626, 632, 
    627, 633, 2442
  ) 
  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 0.00100

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "23.81"
    },
    "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": 34,
      "rows_produced_per_join": 34,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (623,2380,2221,2773,634,624,2736,636,2321,2859,1708,631,626,632,627,633,2442)) 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": "20.41",
        "eval_cost": "3.40",
        "prefix_cost": "23.81",
        "data_read_per_join": "57K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
623 m-h-50h60-30l-rolik-20-h50 302/304
624 m-h-65h70-60l-rolik-chernyy-20-h60 302/304
626 m-h-90h110-180l-pvd-100-10-plast 302/304
627 m-h-90h130-220l-pvd100-10-plast 302/304
631 meshki-dlya-musora-120l-h-10sht-rolik-h16 302/304
632 meshki-dlya-musora-180l-h10sht-rolik-h12 302/304
633 meshki-dlya-musora-220l.-10sht-rolik-h10 302/304
634 meshki-dlya-musora-50l-golubye-h50 302/304
636 meshki-dlya-musora-s-zavyazkami-golubye-60lh10sht-rolik-h35 302/304
1708 meshki-dlya-musora-120-l-10-sht.-rulon-pnd-70110-sm-14-mkm-chernye-bez-etiketok 302/304
2221 meshki-dlya-musora-s-zavyazkami-psd-35-l-15-sht-nadezhnye-cvetnye-30rol-kor 302/304
2321 meshki-mus-s-zavyazkami-chernye-psd-60-l-10-sht-nadezhnye-24-rol-kor 302/304
2380 meshki-dlya-musora-30-l-povyshennoy-prochnosti-5060-sm-20-sht-1-50-sinterkom 302/304
2442 meshki-dlya-musora-240-l-v-rolike-osobo-prochnye-10sht-chernyy-20-rol-kor-evropak-bez-shtrihkoda 302/304
2736 meshki-60-l-dlya-musora-s-zavyazkami-sinie-psd-10-sht-standart-18-rol-kor 302/304
2773 meshki-35-l-dlya-musora-s-zavyazkami-psd-15-sht-nadezhnye-chernye-30rol-kor 302/304
2859 meshki-60-l-dlya-musora-s-zavyazkami-prochnye-6455-sm-fioletovye-10-sht-lomberta-54-rol-kor 302/304