I did 3 attempts in Odyssey and 3 in Horizons with my Beluga with 5D unengineered shields and lightweight hull engineered with heavy duty G4. About 0.1 MJ/t. In Odyssey each attempt killed the shields and damaged the hull for ~25% on average. In Horizons shield remained intact. I get the impression that Horizons lowers the ship at predetermined speed no matter what the gravity is, while Odyssey lets the autopilot actually land so when it uses downward thrust the result is what we would expect.
A cookie cutter exploration vessel with minimal shields will likely take damage in Odyssey.
I recorded one attempt in Horizons and in Odyssey, here they are if anyone's interested. After recalling there's just the long wait for the ship to descend, so you can safely skip to somewhere around the end.