As the Keeper of the Archives for the Radiant Conclave, she knew every replica of every chapel, church, and cathedral in the Lustra Plains like the back of her hand. The one in Lustris had just been stolen by Nathan, but he and his faction would soon realize it wasn't the original.
If she tried to palm off their second-best replica based on the one just stolen, Jake would undoubtedly feel duped upon realizing it. The last thing the Radiant Conclave wanted was to hand over a precious replica only to be attacked again by this foreigner under the pretext of being swindled.
On the other hand, Lady Lyria hadn't forgotten the Celestial's instruction to satisfy all his requests to make him leave. She mulled pensively over which replica to offer but, in the end, decided to contact Valandar through Anthace. One of her wooden earrings had been extracted from the Titan Tree and could be used to transmit what was being said here.