The Rito in BotW have differences in terms of cultures, such as children being able to fly whereas in TWW they couldn't until they reached a certain age and got a scale from the Valoo.
We're in Old Hyrule, anyway, making an AT placement impossible.
The only evidence for the CT is the embers of Twilight line, which in the JP version, is called Tasogare, a word only used in the JP version of TP to refer to Midna's title. Everything else relating to the Twilight in the Japanese version of TP is called Kage, which translates to shadow.
Why the far future of the DT is most likely:
-Most battles with Ganon as per Aonuma.
-Ganon is devoid of his humanity.
-Sages from OoT awakened. This could be evidence for the AT or DT, but since we're in Old Hyrule...
-BotW Hyrule is in decline; the DT has Hyrule constantly going through ages of decline.
-Only branch that has evidence of Hylia worship re emerging due to the Goddess Statue in AoL being more or less identical to what Hylia looks like.
-Rhoam mentions that it's a tradition to name all princesses Zelda in his journal, a tradition only made law as far as we know in the DT.
-Although weak evidence, Lynels exist in only the DT as far as we know.
-Allusions to the NES games made constantly in gameplay videos by developers.
Not to be contrary, but all of those reasons are just as legitimate as reasons for placement in other timelines. I don't claim at all to know what Nintendo is thinking or where they're going to decide to put Breath of the Wild on a timeline but allow me a moment to convolute things.
- Most battles with Ganon - I'm just not sure how this relates. Unless you mean that the downfall timeline has far more games than the other two, which, in my opinion, is circumstantial evidence at best. Plus, this line of thinking cuts out thepossibility that there are games in other timelines involving Ganon which we have not yet seen.
-Ganon is devoid of his humanity. - Again, this doesn't seem to have much bearing on the placement of this game on the timeline.
-Sages from OoT awakened. This could be evidence for the AT or DT, but since we're in Old Hyrule... - I may very well have missed where Breath of the Wild explicitly states that "Sages from OoT (are) awakened" but even if I did, OoT comes before and during the split. This being said, I'm also not finding any cut and dry proof that BotW takes place in old Hyrule. If it does take place in old Hyrule, who is to say it's not new Hyrule long after ST? Actually, the game does take place long after any game to date so it's entirely possible. Not that I think it's likely, but none of this is likely. Where's the Temple of Time in any downfall timeline game? But it is in BotW? If you're going to tell me a new one could have been built between LoZ and BotW, you've gotto admit that anything could happen in that time. Rito could evolve, Koroks could show up, Ganon could disappear or return, technology could be found or forgotten, the Shiekah could tear a wormhole in time and somehow exist in the child timeline after Impa in TP, anything!
- BotW Hyrule is in decline; the DT has Hyrule constantly going through ages of decline. - Is it not true that every game features a decline and a hero to mop it up? For how long BotW takes place after any other game, it's possible, even likely, that the state of Hyrule in any game we know is entirely disconnected from the state of Hyrule in Breath of the Wild.
- Onlybranch that has evidence of Hylia worship re emerging due to the Goddess Statue in AoL being more or less identical to what Hylia looks like. - No, not my precious straws! They're being grasped at! I mean, Lake Hylia appears in all three timelines (technically) so...I mean, yeah.
- Rhoam mentions that it's a tradition to name all princesses Zelda in his journal, a tradition only made law as far as we know in the DT. - A point well conceived, although the presence of that law in the downfall timeline is not mutually exclusive to the implied tradition in the other two timelines.
- Althoughweak evidence, Lynels exist in only the DT as far as we know. - If we're swinging that as evidence, we only know of koroks existing in the adult timeline and we even have strong reasons for why.
- Allusions to the NES games made constantly in gameplay videos by developers. - Not in reference to timeline placement but to gameplay on every occasion.
Now for some greater obfuscation. The Castle Town square from TP (a circle, mind- blowing, right?!) is very clearly referenced in BotW. How does that physical leftover from Twilight Princess coexist with the Koroks from WW? Or the Rito? And how do they exist at the same time? And how is Wolf Link from TP in the game? Is it just his spirit? Or just a non-canon easter egg? I'll tell you what's not an easter egg, the one atop Mt. Tamaranch in Link's Awakening! And what else is in that game? Kanalet! Goponga! Ukuku! Ulria! Tal Tal! How can they be in the memory of BotW when embers of Twilight also are??? All questions, no answers. Nintendo. We're all fools.