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 (
    7056, 7425, 7368, 7068, 7047, 7380, 7061, 
    8423, 7372, 7034, 7046, 7426, 7369, 
    7373, 7275, 7374, 7058, 7445, 7387, 
    7045, 7371, 7392, 8712, 7367, 7284, 
    7393, 7366
  ) 
  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": "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 (7056,7425,7368,7068,7047,7380,7061,8423,7372,7034,7046,7426,7369,7373,7275,7374,7058,7445,7387,7045,7371,7392,8712,7367,7284,7393,7366)) 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
7034 190-1-1015r 266/265
7045 190-1-1039r 266/265
7046 190-1-1040r 266/265
7047 190-1-1041r 266/265
7056 190-1-1058r 266/265
7058 190-1-1060r 266/265
7061 190-1-1063 266/265
7068 190-1-1076r 266/265
7275 190-1-715r 266/265
7284 190-1-734r 266/265
7366 190-1-829r 266/265
7367 190-1-830r 266/265
7368 190-1-831r 266/265
7369 190-1-832r 266/265
7371 190-1-834r 266/265
7372 190-1-837r 266/265
7373 190-1-841r 266/265
7374 190-1-842r 266/265
7380 190-1-851r 266/265
7387 190-1-861r 266/265
7392 190-1-867r 266/265
7393 190-1-869r 266/265
7425 190-1-914 266/265
7426 190-1-914r 266/265
7445 190-1-935r 266/265
8423 kl276 266/265
8712 kolco 266/265