As the 1.20.60.21 changelog said:
Horses, Donkeys, and Mules now take fall damage when controlled by a player, except for worlds targeting base game versions before 1.20.60 (MCPE-107031)
After these fixes horses got damage but player while controlling donβt take damage. This isn't matching the Java Edition version and older version of Bedrock, were player take damage if falling from high place.
Steps to Reproduce:
Go to the edge of mountain or hill while riding horse, donkey, mule, or camel
Now riding straight for falling to the land
Observed Results:
Horses or camel take damage but player doesnβt
Expected Results:
Both of them taking damage
Attachments
Comments 4

This might be the intended behavior, the 1.20.40 changelog says:
Fall damage is now absorbed by the entity that lands on the ground when mounted and passed on to passengers if the mount dies
Thank you for your report!
However, this issue is Working as Intended.
The report you have submitted is working as intended: 1.20.40 changelog.
Please note, that mechanics of the game may change between updates.
Things such as graphics, sounds, world creation, biomes, redstone, villagers, and animals may not work the same in current versions.
Full Version History β Snapshot Version History β Feature Requests and Suggestions
Quick Links:
π Bug Tracker Guidelines β π¬ Community Support β π§ Mojang Support (Technical Issues) β π§ Microsoft Support (Account Issues)
π Project Summary β βοΈ Feedback and Suggestions β π Game Wiki
Thank you for your report!
However, this issue is Working as Intended.
The report you have submitted is working as intended: 1.20.40 changelog.
Please note, that mechanics of the game may change between updates.
Things such as graphics, sounds, world creation, biomes, redstone, villagers, and animals may not work the same in current versions.
Full Version History β Snapshot Version History β Feature Requests and Suggestions
Quick Links:
π Bug Tracker Guidelines β π¬ Community Support β π§ Mojang Support (Technical Issues) β π§ Microsoft Support (Account Issues)
π Project Summary β βοΈ Feedback and Suggestions β π Game Wiki