No idea how warranty is handled at tactical imports, but...
Buying a Non-Restricted *new* from a dealer has always had a name recorded, pal-info, etc. linked to that firearm and it's always been that way even before the now-dead-registry; however, this info is kept with the dealer as is law (not a federal database).
Now a private sale is different, but, if the firearm is ever found later (or used in a crime) and no one was attached to it physically, the police will do their old-fashioned investigating and eventually find out who the original buyer was (remember it was sold at one point from a dealer to a customer so a record is available.)
The original buyer (who sold it) better have a good answer when the police show up asking "Guess what, we found your gun. Explain."
Remember, owners need to report lost or stolen guns exactly for the above reason. So yeah, it's definitely a good idea to know who you are selling a non-restricted to.
Not trying to be a ####, but a little surprised by the implied context of the original post. No dealer wanting to remain out of prison would be selling guns to customers without keeping a record of the transactions. Unfortunately

Remember, in Canada owning a gun is a privilege, not a right.
Anyway, that's how it works. Hope that answers some question(s).
Cheers~