Remember, this is not THE Hyrule. No such thing. In my opinion, every game has its own continuity, and they are all best served if they don’t try to connect. The legend is played out in the multiverse across time and space and realities. So, please come in and have a great time in THIS Hyrule.
Personally I think it would be awesome if you had three players and each one had a Tri-Force and connection to royalty. Go big or go home, right?