There are still some various records that Lucia gathered and according to her, some of them are connected to the diary and some are just manuals for the machines. Even though they are just manuals, Lucia insists on bringing them along with us. It will be useful later on but I still have no idea how this will be useful if she says so, then that's what I will believe. Besides, she is the one who can understand how those work, so I have no qualms about it either.
Queen Tanya and the rest didn't move to the next floor immediately and decided to rest for a bit. With all of the liquid golems they have suppressed, it is not surprising that they wanted to sleep for a bit.
As for me, I tried to tinker with the machines for a bit. They are new to my eyes so checking on them and trying to see how they function is fascinating. Lucia helped me understand what are the button's purposes, how they work, and what they do when the buttons are pressed.