According to Yvonne, the inheritances within the Tower of Rebirth were all protected by encoding. The inheritances weren't mere resources, they also contained the memories and experiences of the experts.
Some basic things such as herbs and elixirs were available for the tower climbers to pluck. However, without decrypting the fallen expert's message, obtaining their inheritance was a pipe dream.
The first two floors possessed inheritances of the Star Taming Stage. Therefore, while they were far from being Konrad's aim, he also didn't take them lightly. They'd greatly facilitate his faction and army building.
"We split into three groups. Faidra, Iliana, Freya, Lena in one. Jasmine, Zamira, Aliki, Astarte in another. Daphne and Diyana with me. If you complete your plundering before the others, assist the other group. Plundering all inheritances is a must."
With his Origin Sight, Konrad could see that no team lied in the treasure rooms.