For me, it's not the same if I'm not Link, but I don't see anything wrong with changing his name. Zelda is all about the individual gamer's experience. How can it be wrong if it enhances the game for some people?
Although having a set timeline would make the series more coherent, I kind of enjoy being able to interpret the games how I wish. The makers of Zelda left many things open-ended so the player can have a more personal gaming experience. Link never says anything because Nintendo wants us to project our personalities onto him. It is unclear whether Link falls in love because they want us to decide for ourselves. There is no explicit timeline, but that allows the gamer to construct a timeline that is meaningful to them.
Excellent article, pipking. You always choose a subject that is a great topic for discussion. I hope you write more in the future. I miss reading your Behind the Rupees articles.