Good theory.
In my clay soil it would need 2 modifications:
Turn the rake around 180 degrees as DD mentioned. Facing the way you have it, it would gather up soil until it was full and bog down. Facing the other way, it will feather out the soil much better.
Remove every other tooth. This would allow bits of clay soil or bits of sod chunks to pass through. Depends on what type of soil, and how much plant debris is involved, but my landscape rake fills up solid on plant bits 'here', so if it ever comes up, removing every other tine might help it work.
On the farm our big field cultivators and disks have leveling options, which would be the tine harrow attachment or a rolling basket. These are attached just like you did, and lift and lower with the disk, as you say for backing into areas.
If this rig doesn't work out down te road, you might look into spring tine harrow attachments, they have 2 to 4 rows of the big long wire springs, and do about what that rake should do for him.
In sandy clear soil, what you have should work good, tho might need to spin it 180.
--->Paul