The fact that Link to the Past would most likely appear on Nintendo's online service makes me completely doubt the validity of this "rumour" (not sure if it counts as a rumour since we know the supposed source; it's more like speculation, unconfirmed info, or a lie).
Don't get me wrong, I would like all three of these games =)
Persona 5 would be most interesting to me since I have never played it; I WOULD be more interested in Link to the Past if I hadn't played it multiple times in the past 2-3 years.
I describe myself as a little dose of toxic masculinity.