To elaborate further on my views against a Female Link and for a PC Zelda here goes.
When you turn Link into a girl, or even create a new separate Link-esque girl character to join/replace him, regardless of whether the lore supports it and all that nonsense, you are turning her sex into a selling point and defining characteristic. You are commodifying Female Link(le)'s sex. Which to me isn't acceptable nor desirable in the slightest.
"Hey whats this new Zelda game coming out about?" "Ohh Link's a girl this time."
Link being a girl won't just be a part of her character, but it will be her character. Her selling point. Everything will revolve around that central point. How is she different from Link, well she's a girl. You have original, default, Link and then you have off brand, female, Link. That's a poor relation between the two and not at all equal or progressive.
Link will always just be Link, free to be however they wish him to be, with no ulterior expectations or motivations due to his sex. While Female Link will, by very definition, be viewed, measured, designed and marketed by her sex first and foremost because that is her central defining feature she has in relation to the genuine article, Link. Whatever differences there are in her character, large or small, from how they act or how they play in game, it will all be viewed as a reflection and result of her being a girl first and foremost, if not only because.
On the other hand you have Zelda, who is a girl, but who has appeared and evolved over the span of 16 out 17 mainline Zelda games in one form or another, as well as most of the spin-offs and crossover titles. She is a known and developed individual, with her own personality, traits and features that generally stand on their own. If you make a future Zelda game with her as the player, then Zelda the character herself becomes the central selling point, not her sex. Though it will be factor, that much is certain, it won't be the only one or central one.
"Hey whats this new Zelda game coming out about?" "Ohh you play as Zelda this time, not Link."
She is a girl, but when people look at and talk about her and the game they will be looking at the character Zelda and not simply her sex in relation to everything. She will do things and be judged by people because of her personality and character traits, which people know and have been exposed to over the last 30 years. They will not expect or view the things she does simply because she is female, but because she is, and has always been, her own person.
Being an altogether different person removes the expectations that she be exactly like Link or not like him due to her sex. If she has an ability Link does not or does not have an ability Link does, it's not because she's a girl, but because she is Zelda. If she reacts in different ways and does things differently it's not because she's a girl, but because she is Zelda. She is free, as nearly as much as Link is, to be however they want her to be because as an established and separate character she is not beholden to some original mold. Where Female Link is a deviation of Link, Zelda is just Zelda.
Link is iconic, you cannot erase or ignore nearly 30 years and probably an equal number of appearances. It's not a matter of Link has to be a boy, fans won't accept it, or that you're damaging the brand if he's a girl or there are some serious lore issues preventing it, there aren't. Simply that you won't be able to break the relationship people have with him in their minds and how this new female Link will be viewed because of it.
Even if the narrative and characterization was drastically increased in future titles to allow for more character development so a female Link could display a stronger and more defined personality she will still always be viewed as Female Link, an offshoot and deviation from the real Link. Defined by her relationship and origination from Link and the main difference between the two, her sex. Plus such a change would be because she's a girl, which would bring comparisons to how for 30 years Link didn't deep characterization or narrative to define him, but a Female Link does or else all she'll be viewed as is a female variant.
You can spend all the time you want debating the justification and in universe Lore as to why or why not a female Link can be done but you will never be able to turn back time and erase the history of the last 30 years, nor gender roles/dynamics in general, and put her on equal footing with Link in people's mind and perceptions.
With Zelda at least you have a real fighting chance to do something interesting and unique that can stand on its own merits.