I prefer to name images and movies with 2025-0802-0748-18.jpg scheme so they sort correctly by date also in file lists. You can use your own variation but it is best to use a "big endian" scheme i.e. year-month-day etc -- other schemes are possible but need much more tweaking later.
With that filename scheme you can very fast copy the date to the most important metadata dates with 3rd party apps like GraphicConverter or exiftool (I use a Mac for that and I have not used iOS/iPadOS apps for that).
In images the most important metadata metadata tag is (in macOS and Windows that tag might be displayed with a misleadingly different label, though):
[ExifIFD] DateTimeOriginal : 2001:01:01 12:00:00
That is local time and there is optional ExifIFD:OffsetTimeOriginal tag for time zone offset:
[ExifIFD] OffsetTimeOriginal : -05:00
In movies they are (sadly movie metadata is not yet properly standardized):
[QuickTime] CreateDate : 2001:01:01 12:00:00-05:00
[Keys] CreationDate : 2001:01:01 12:00:00-05:00
[UserData] DateTimeOriginal : 2001:01:01 12:00:00-05:00
All movies have QuickTime:CreateDate which is UTC (in the example above it is just converted to computer's local time zone with exiftool option '-api QuickTimeUTC=1') and Apple's mobile devices use also Keys:CreationDate which is local time with time zone (Android might use UserData:DateTimeOriginal which behaves the same).
You can check all dates with cross-platform exiftool with something like:
exiftool -a -G1 -s -fileOrder5 FileName -api QuickTimeUTC=1 -api RequestTags=FileCreateDate -Time:All .
Location and its time zone might also affect sorting in Photos and you can check that with:
exiftool -a -G1 -s -n -ee -Location:All image.jpg
See also:
Movie dates and Photos.app - Apple Community