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 (
    8362, 8328, 8363, 7284, 7393, 8327, 8319, 
    7262, 7270, 7363, 7394, 7362, 7285, 
    7318, 7354, 8509, 7801, 7849, 7894, 
    7895, 7886, 7931, 7932, 7793, 7815, 
    8511, 8512
  ) 
  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 0.00058

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "37.81"
    },
    "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": 54,
      "rows_produced_per_join": 54,
      "filtered": "100.00",
      "index_condition": "((`primapearl_r_new`.`cscart_seo_names`.`object_id` in (8362,8328,8363,7284,7393,8327,8319,7262,7270,7363,7394,7362,7285,7318,7354,8509,7801,7849,7894,7895,7886,7931,7932,7793,7815,8511,8512)) 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": "32.41",
        "eval_cost": "5.40",
        "prefix_cost": "37.81",
        "data_read_per_join": "91K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
7262 190-1-701r 266/265
7270 190-1-710r 266/265
7284 190-1-734r 266/265
7285 190-1-735r 266/265
7318 190-1-773r 266/265
7354 190-1-815r 266/265
7362 190-1-824r 266/265
7363 190-1-825r 266/265
7393 190-1-869r 266/265
7394 190-1-870r 266/265
7793 290-1-701r 266/267/441
7801 290-1-710r 266/267/441
7815 290-1-734r 266/267/441
7849 290-1-773r 266/267/441
7886 290-1-815r 266/267/441
7894 290-1-824r 266/267/441
7895 290-1-825r 266/267/441
7931 290-1-869r 266/267/441
7932 290-1-870r 266/267/441
8319 390-1-815r 266/268
8327 390-1-824r 266/268
8328 390-1-825r 266/268
8362 390-1-869r 266/268
8363 390-1-870r 266/268
8509 pr603 373/372
8511 pr605s 266/267/441
8512 pr606 373/372