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 (
    8418, 8415, 8417, 8403, 8409, 8396, 8399, 
    8416, 8404, 8398, 8420, 8394, 8419, 
    8401, 8400, 8402, 8412, 8407, 8393, 
    8411, 8408, 8406, 8405
  ) 
  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 0.00055

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "32.21"
    },
    "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": 46,
      "rows_produced_per_join": 46,
      "filtered": "100.00",
      "index_condition": "((`primapearl_r_new`.`cscart_seo_names`.`object_id` in (8418,8415,8417,8403,8409,8396,8399,8416,8404,8398,8420,8394,8419,8401,8400,8402,8412,8407,8393,8411,8408,8406,8405)) and (`primapearl_r_new`.`cscart_seo_names`.`type` = 'p') and (`primapearl_r_new`.`cscart_seo_names`.`dispatch` = '') and (`primapearl_r_new`.`cscart_seo_names`.`lang_code` = 'ru') and ((`primapearl_r_new`.`cscart_seo_names`.`company_id` = 1) or (`primapearl_r_new`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "27.61",
        "eval_cost": "4.60",
        "prefix_cost": "32.21",
        "data_read_per_join": "77K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}