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 (
    1515, 1516, 1517, 1603, 1519, 1768, 1518, 
    1769
  ) 
  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 0.00040

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": 16,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (1515,1516,1517,1603,1519,1768,1518,1769) 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
1515 80x125-carrara-884-s-477140 302/303/306
1516 80x125-chic-512-s-497161 302/303/430
1517 80x125-apatite-342-s-497140 302/303/430
1518 80x125-oscar-col.474330 302/303/430
1519 80x125-bauhaus-col.474640 302/303/430
1603 belgiyskiy-kover80x125-origami-col.474210 302/303/306
1768 antique-80x125-925-c-481220 302/303/306
1769 mirror-80x125-805-c-577670 302/303/306