Thanks for your effort, but several players still say they are experiencing this :(

Same Problem here, it happen to shards, codes and consumables - playing inferno mission
All other things seem to stay in the storage box.
When you put all things in your character inventory and log out and in again - all things are fine, but now I forgot it one time and 95% of my shards and psalm codes are gone - thats very frustrating :(

Please try to fix that

Intel in first back, Shards in Second.

Transferred to the Non-Seasonal Casket.

NOTE: Several items in Tab one were NOT removed but duplicated in Non-Seasonal Casket.

I now have mirror copies of gear (Signums x4/random legendary gear & Weapons in both Seasonal and Non-Seasonal Caskets. 

Confirmed that the items - some Psalm Codes, Shards, Intel and items that I had in my new seasonal character transferred over to my non-seasonal casket.

They we located in both tab one and tab two of the Seasonal Casket.

Good luck as this one does not do all of it but random partial.

Changing between characters do not seem to do it but full log out has my Shards vanish every time.

same for me, all items disappeared, league inferno

I think only Codes and Shards keep disapearing.

Feels like around 10 Shards and 15 Codes disapeard so far for me.

Same problem, Inferno season.