Hm, it may be just saying it saved photos while it actually skipped them. Does it take the app as long to ‘save’ photos every time, or is it quicker than when it saves new photos?
I just triggered “Backup New Photos” (Neue Fotos sichern) again. After 2 days (I had not taken any new pictures), it reported that around 900 photos were saved, but the whole process completed very quickly, and nothing appeared under “Recent Changes” (Kürzliche Änderungen).
So it might indeed be the case that the app only reports that photos were processed, while they were actually skipped.
For testing, I then took two new pictures. After that, it showed “2 items saved” (2 Elemente gespeichert), and under “Recent Changes” (Kürzliche Änderungen) I can see exactly those two images. That matches the expected behavior.
Nice, I have Syncthing installed on a Pi4 with EndeavourOS ARM. Everything runs perfectly, and the backup photos are cleanly saved into the year/month folders as configured. I really like that!