I have ignored no such evidence. When the proof for a theory is another theory then it doesn't have any proof. My head-canon might involve the Hero of Time and Saria producing an immortal child together, but it's still fanfiction.
But the Zelda of TotK isn't the Zelda of OoT. They might both be the Sage of Uselessness, but they were born thousands of years apart with no consistent powers. The inconsistent aspect of the Ocarina of Time is how it is only selectively able to time travel when played. It works for Zelda at the...
We know that the Ocarina of Time can inconsistently travel through time, but we don't know any iteration of Zelda to have latent timey-wimey powers. It's a nice thought and it'd be a fun thing for the series to bring up, but the developers don't really think about the series on a macro scale...
Well, you probably aren't going to see anything in game suggesting that timeline's existence, since it was only mentioned in a source book and nowhere else and Nintendo hates revisiting old ideas. Maybe if Nintendo decided for a larger scale remake of those games, but their approach to remakes...
Let me clarify: it has the ability to travel through time when used by Link in Majora's Mask, but not when used by him in Ocarina of Time. I'm not claiming that the object itself is incapable of going from one place to another. Time travel as a rule is inconsistent in Zelda. Using the Master...
The ocarina's ability to travel through time seems pretty inconsistent, only existing when the plot needs it to. It travels through time in Majora's Mask, but is unable to do so when used by Link in its namesake. I wouldn't put too much stake in any established powers. The franchise as a whole...