Yes, my preference is for the app to show the local times of the images when they were recorded, regardless of where you are physically.
However, I do have another question. When I transfer the images to laptop for processing in Lightroom prior to uploading them, the filenames themselves are in UTC. Do you intend to keep them that way?
I don’t mind so much if the image files themselves are in UTC, but if the folder names are in local time, then that would help greatly to know when the images were captured.
Having said that, if the app allows me to rename the sequence folder names (there’s a separate request for it) or alternately, to add a description to the folder name then it will help a great deal with organising the sequences when I’m on trips and need to capture many sequences.
