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 (
    1518, 2411, 2336, 2328, 2303, 1769, 2391, 
    2597, 2339, 2340, 2403, 2409
  ) 
  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 0.00043

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 24,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (1518,2411,2336,2328,2303,1769,2391,2597,2339,2340,2403,2409) 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)"
    }
  }
}

Result

product_id seo_name seo_path
1518 80x125-oscar-col.474330 302/303/430
1769 mirror-80x125-805-c-577670 302/303/306
2303 belgiyskiy-kover-200x300-porto 302/303/306
2328 tureckiy-kover-152h200-good-night-blue 302/303/304
2336 tureckiy-kover-donna-ash-grey-200x300 302/303/304
2339 tureckiy-kover-donna-satin-silver-200x300 302/303/304
2340 tureckiy-kover-donna-antik-gold-160x230 302/303/304
2391 tureckiy-kover-ecotouch-grey-papatya-160x230 302/303/304
2403 tureckiy-kover-shale-beige-shr-papatya-clone 302/303/304
2409 tureckiy-kover-zebra-bone-bone-80x150 302/303/304
2411 tureckiy-kover-botanica-bone-bone-80x150 302/303/304
2597 belgiyskiy-kover-florense-200x300 302/303/306