@Tarale You can, on iOS. This was a live. If you haven't figured it yet, I'll be on my iPad once I've got the dinner started, and will see if I can recall how.
@smiffy I tried on mine, but I could only get a video
@Tarale Sooooo... I don't think there's a single step to GIF on iOS; if you save to files, you get MOV, per your experience. You have to do the initial conversion on iOS, then convert to GIF on MACOS.
@Tarale Assuming you have iCloud sync - on desktop, View -> Albums -> Media Types -> Animated. Select photo. File -> Export -> Export GIF