The idea to add a pattern for an image file name

[ostap667inbox]

Now seed comes first in the image file name. However, it is a random number. Many picture viewers sort files by filename by default.

To sort in creation order, it would be nice to be able to have a date/time of creation in the beginning of the file name, something like datetime in "%Y%m%d%H%M%S" in Automatic1111. For example: 20230515152506-... at the beginning of the file allows you to correctly sort the list of images.
By default or as an option in the settings.

[seruva19]

The scheme you suggested is made default now (468e113), it's indeed more user-friendly.
And later it will be possible to change it through UI.