Plus its free to make an account and search the UL database[1]. I work in the fire industry and I have to prove to customers all the time that the UL stamp on devices and datasheets is actually backed up with proper documentation.
But if it's a counterfeit product masquerading as a brand name, the fact that the genuine brand-name product is listed offers only false assurance to the buyer of the counterfeit.
[1] https://iq.ulprospector.com/en/