Sheik says the OoT sages will awaken when ''evil rules all''. Since this prophecy doesn't come to pass in the CT, it's pretty safe to assume that the TP sages are not the same ones from OoT.
Also, the events of OoT are retold from the POV of the Zora. In fact, the way the HoT is remembered...
I made one of these too: https://zeldadungeon.net/forum/threads/an-examination-of-all-the-arguments-for-the-timeline-placement-of-botw-and-my-conclusion.60315/#post-1104385
Actually, this is a mistranslation; in the JP, Zelda says that the Dark Beast form is a result of Ganon refusing to...