So this is after twilight princess, yeah?
We don't know because the first memory, the ceremony one, contradicts itself and other cutscenes. The game references and mentions the Hero of Time and the OoT sages, which means the events of Twilight Princess and Four Swords Adventures couldn't have happened and it takes in the Downfall Timeline. There's also a mention of a royal tradition of naming the princess "Zelda", which was a tradition after a prince placed a sleeping curse on Zelda I (Not to be confused with the first Zelda from Skyward Sword, this Zelda was cursed in a time where the complete Triforce was in the hands of the Royal Family, which is known to be after Link to the Past.)
That said, Zelda said something about the embers of Twilight in her speech after she referenced the events of Ocarina of Time, which is a massive contradiction because no one in the Child Timeline remembers the events of Ocarina of Time, nor do the sages ever get awaken and the ancient nameless ones remained.
In short, everything else lines up to believe it's 10,000+ years after Zelda II, but that one line about the embers of Twilight is making it a bit messy.
Edit: There is something else I want to point out. It probably means nothing, but religion wise, it fits that BotW takes place in Downfall. In the Adult Timeline, most of Hyrule's mythos and past was wiped out and by the time Spirit Track happens, the society of New Hyrule is pretty much atheistic. In the Child Timeline, the people still worship the Three Golden Goddesses. And in the Downfall Timeline, starting around ALttP to Zelda 2, people practiced a one deity religion which was seen as Christianity at the time, but we can retcon this to a Religion of Hylia, as the wedding ceremony performed in BotW followed the traditions of a typical Christian Wedding.