Having the same issues with iPhone 11 (Pro Max) iOS 13.1.3. Time stamp is current time as well. Note that image information still works in Seek, and will transfer over to iNaturalist correctly if posted via Seek.
I can post a screen shot - but not sure it will be that helpful - I believe the only difference from previous behavior is it shows the “Details” with the current location/time in it. For privacy reasons need to move to another location than my house before posting the location.