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 (
    51564, 51566, 91, 90, 193, 93, 20, 52, 
    131, 19
  ) 
  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 0.00075

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.01"
    },
    "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": 20,
      "rows_produced_per_join": 20,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51564,51566,91,90,193,93,20,52,131,19)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "12.01",
        "eval_cost": "2.00",
        "prefix_cost": "14.01",
        "data_read_per_join": "33K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
19 shtany-uchur-all-weather-pants-lite-cv-saas 40
20 shtany-uchur-all-weather-pants-lite-cv-taas 40
52 shtany-uchur-forester-cv-black-gray 40
90 shtany-uchur-all-weather-pants-pro-cv-taas 40
91 shtany-uchur-all-weather-pants-pro-cv-saas 40
93 shtany-uchur-all-weather-pants-lite-cv-chernyy 40
131 bryuki-letnie-uchur-tukulan-cv-bezhevyy 40
193 shtany-uchur-all-weather-pants-pro-cv-taas-40x30-ru 40
51564 shtany-uteplennye-uchur-expedition-cv-chernyy 5/9
51566 bryuki-muzhskie-uteplennye-uchur-arctic-cv-chernyy 5/9