This bug is reproducible.
I used "Check New Images" in the Admin control panel to import 13 new images into an empty category. My web server is very fast and the first 10 images were processed within the same second. Therefore, each of these 10 images have the exact same date/time stamp of 2002-05-24 06:38:03. The remaining three were all processed in the next second.
I then used the Admin control panel to change the image sort method to "Date" by clicking "Settings" then "Image Settings" and selecting "Date" for "Sort images by". (Control Panel>Settings>Image settings)
When I select the 1st of the 13 thumbnails, I get the details page for it.
HERE IS THE BUG:
The {next_image_url} in the details page is set to the 11th image! I cannot use Next and Previous to navigate between all 13 images. I can only get to the 1st image that was imported and the 1st image that was imported the next second. The Previous and Next skip images the other images that have the exact same date/time stamp.
For your information: All 13 thumbnails are displayed in ascending image name order when clicking the category.