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 (
    1594, 2669, 1271, 2230, 2452, 2661, 2662
  ) 
  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 0.00071

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "9.81"
    },
    "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": 14,
      "rows_produced_per_join": 14,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1594,2669,1271,2230,2452,2661,2662)) 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": "8.41",
        "eval_cost": "1.40",
        "prefix_cost": "9.81",
        "data_read_per_join": "23K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
1271 korreks-k-2308-55v-2308055-pod-zelen 294/560
1594 sl-41-4e-1ret-sushnica-4-sekcii-400sht-kor.emkost-odnorazovaya 294/390
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
2661 rk-6n-r-op-konteyner-s-kryshkoy-14411455-mm-komus-960 294/297
2662 rk-25-m-t-konteyner-s-kryshkoy-265h194h66-5mm-komus-160 294/297
2669 konteyner-serdce-s-sovmesch-krysh-bops-ts-175d-165h150h52mm-cvet-prozr-komus-h1-250 294/390