Currently there is no logging for who created/edited/deleted a product in the Product overview of Product information.
A new product should not exist before it was requested using a support ticket. But if there is no logging, how will we know that?
Also since there is no duplicate product protection (we've only been using it for a week and already have had a duplicate product) it would be good to know who made the mistake of creating the duplicate.
And since deleting removes all logging this should be done with great causion. So knowing who did it must be logged somewhere.