When they re-did the Collectables system in patch 5.3, they also made the turn-ins "static", as in they do not change for dailies and such, they are all the same.
As such, that part of the Timers menu was removed.
https://na.finalfantasyxiv.com/lodes...5c2da260eae21a

"The following adjustments have been made to Rowena's House of Splendors:
Items requested for collectable turn-ins will no longer change on a daily rotation.
In accordance with this change, items listed in the collectables exchange will no longer be given a daily bonus. Furthermore, Rowena's House of Splendors will no longer appear in the Timers window."