Add Actor Local Offset does not work for Client Characters

Add Actor Local Offset does not work for Client Characters. The client attempts to move but is forced back to start, resulting in a jitter and not the intended movement. The same movement setup in a Pawn works as intended.

The user reporting the issue mentions ReplicateMovement being disabled, but this does not have any real connection to the issue. Add Movement Input works as intended on the Client.

Reproduced in 4.7.3 binary and Main (//depot/UE4/Promotable-CL-2496752)

1. Open a new Blank project
2. Add a Forward Axis Input
3. Create a new Character Blueprint
4. InputAxis > Add Actor Local Offset
5. Get Actor Forward Vector * Axis Value > Delta Location input of Add Actor Local Offset node
6. PIE with Clients set to 2
7. Move forward

Result:
The character jitters in place.