"Fiery Dragon Shoes" farming, and others like it

If an item has a particular chance to drop as the unique reward for a timeline’s echoes… will prophecies cleared in that timeline also have a better chance to drop the item?

When uniques say “Timeline to farm” it’s not because they have a higher chance to drop in those timelines. It’s only because those timelines can spawn the echoes for that item type, like unique boots, unique helmets, etc.
Otherwise, their chance to drop is the same as in any other timeline.

So no, prophecies don’t have a better chance to drop them in any timeline.