With my Dreo fans, I’ve had better luck mounting the Bond on the wall or similar (so the top side of the Bridge is pointing across the room), vs sitting on top of a table or shelf (where the top side of the Bridge is pointing up to the ceiling).
Even with the Dreo remote itself, I feel that the range and particularly the angle is much more restricted than, say, my Dyson fans.
Many Dreo fans seem to have network capabilities, too, and I recall working that out for local network control once upon a time.
Looking for my notes on that and I will update the post once I find them.
EDIT: I think it was one of the cloud authentication methods like here, sadly. Not that it would have helped you, @Muse_2 with your particular model, given the lack of WiFi. 
Have you tried re-recording the original remote as a new device in Bond, maybe holding the buttons you’re recording even before the Bond app says to press it?
For any comparison you want to do, the Signal API endpoint under Commands node of my Dreo Tower Fan device shows as:
{“freq”:38,“bps”:40000,“deviation”:0,“reps”:1,“modulation”:“OOK”,“encoding”:“hex”,“data”:“FFC000FFFFF000000000003FFFFFFFFFFFFE0001FFFFFFFFFFFFF0001FFFFC000000000007FFFF000000000001FFFFC000000000007FFFFFFFFFFFF0000000000000000000000000000000000000000000000000000000000000000000000000FFFFFFFFF…”}.
Mine works with a rep of 1, but you can always patch the reps up to try to avoid having to mash the button repeatedly…