When troubleshooting issues with file or mobile geodatabases, Support will often ask:
How was the geodatabase created? How was the FC/table created?
(Often the GDB is sent to Support to help with troubleshooting.)
We don't always have the answers to those questions; someone else might have created the GDB/item, or it was created too long ago to remember, etc.
It would help if ArcGIS Pro auto-documented that sort of thing in a log table or in the properties. It wouldn't need to be overly detailed -- to keep the file size small. Just some info about what tool was used to create the object and when.
Would something like that be possible? I'm sure Support and the Dev team would appreciate having accurate information to work with, as would users/admins.
Edit:
This idea is for functionality to log info about how a GDB or item was created (i.e., what GP tool or UI tool was used to create the object, for troubleshooting purposes). And my assumption is the log info would have dates.
However, regarding tracking dates, there is some overlap with a related idea: Display FC creation date in Catalog properties.