Voyager

Long press on a .gif brings up a menu with “save to photos “ and “share” (I don’t remember the 3rd menu item but didn’t seem relevant to your question anyway) those give you some options for saving. I just verified on iPadOS but should hold for iOS too.

Hope this helps.

Okay, so gifs work the same as images. The problem seems to be with mp4 files

On android it works seemlessly.