Some of the puzzles are fully randomized with every combination possible, while others only take a very small subset of possible values.

The Fireplace (Saphhics): In randomized, the code to the fireplace will still always be on page 158, but it will (as far as we know) only always be one of these five patterns: https://imgur.com/a/AW3PfzU In particular, the original classic fireplace solution has not been observed in rando. Alternative picture, with page screenshots: https://imgur.com/a/P56JQJH

Piano (Jaffras): The following patterns have been observed: https://imgur.com/a/izNGyTZ Does not seem to include the classic solution either. Sadly, they do not seem to be corellated to the fireplace pattern.

Raising the Ship (Harmony/Jaffras): There are 8 possible dates, one for each symbol: https://imgur.com/a/cOyXGQY With a mnemonic: https://imgur.com/a/EVCRRcJ

Channelwood safe(+Harmony): so far no real pattern visible, observed combination so far, sorted: https://pastebin.com/RWHGvPSW none of them have so far occurred twice

Clocktower: So far no real pattern visible, neither in the clock nor the puzzle inside. Observed times: https://pastebin.com/t8AE43Zw Same as with channelwood safe puzzle: Probably randomized? We've observed 3,3,2 3,3,1 and 1,1,3, which kinda rules out systems? https://imgur.com/a/Yn8Y9AL