Yes, but much in the same way that Doctor Who exists. There is no one Doctor, as there is no one Link. If five people are asked to picture Link, they might come back with five different interpretations. Where the Doctor "regenerates", Link is "reincarnated". There is a fluidity to the character where the entity takes shape in many ways, none of which preclude the possibility of a female.
Link's appearance has never changed that drastically between games. I can look at all the different variations and see that it's meant to be the same character. While Doctor Who's appearance changes quite a bit between iterations, with Link you can basically narrow it down to a shift in art style between games and age of the character. I can tell when looking at Robin and Corrin that they're meant to be different characters, but when I look at Link and Toon Link I can tell that they're the same character with a different art style and are meant to reflect the same character. I don't see how Doctor Who can really relate especially since he's meant to take on a different appearance through regeneration, and as far as I'm aware he's never regenerated into a female anyway. Why would you even use him as an example for this topic?
Yes that is a conscious choice made, but the games aren't built around gender to the extent the experiences changes. If there wasn't an option it would still be very much the same game. All it really effects is the aesthetic (and a very small part of the marriage system in FE).
So what would be the point of doing this to an established, iconic character of over 30 years?
In some titles he has gained more personality, but typically that personality, past courage and a sense of adventure, is inconsistent.
Just because his personality shifts between games doesn't mean his gender should be inconsistent as well. Growing up in a different environment can be accounted for his change in character between games, but something like that won't change what his established gender is.
Even if true, those aren't exactly high standards.
Plus, if you're saying Link has become more and more personified, you're implying his characteristics have increased over time. His gender hasn't. He's as much a male now as he was in 1986. And the personality doesn't have to change if he's made a female... it probably wouldn't.
What I'm implying is that Link is has since become an established and beloved character and isn't
just an avatar anymore. He shouldn't become a sim character at this point in time. Like you said, he's as much a male now as he was in 1986, and it should stay that way. There's no reason to change that now.
Really? Does getting a pair of boobs really clash with the lore of being reborn to claim one third of the triforce in times where Hyrule is threatened? How exactly would the lore change if he were female? It's a surface change, it's a change of aesthetics.
The reason it matters is simply because it's inconsistent with what the franchise has already established in over 30 years of existing. Why haven't there been other female Links up to this point?
But Mario and Samus are a single individual. The same Mario that's in one Mario game is going to be in every Mario game. Same with Samus. If it were a different Samus in every Metroid game with a different design but the same base role I'd say sure, make one male, why not? But it's not.
"Link" is an entity that is reincarnated into multiple characters who are all named Link. If it was one single Link in every Zelda game, then yeah, it would legitimately be changing the character, but one Link isn't necessarily the same as the other. So what if one's a girl? The character is staying the same, the proportions would just change a bit, which happens ALL THE TIME with Link. It's just an extension of the character, it's not an overhaul.
If a gender option was a thing since the original Zelda game, then I would agree. Problem is that's not the case and whether or not Link is reincarnated in almost every Zelda game, he's always been portrayed as a male entity. To many people who are casual fans of the Zelda franchise I'm sure they still view him as an individual character as much as Mario or Samus despite the lore. Why go ahead and change that now? Sure, on a technical level not every Link is the same individual, but that's not an excuse to all of a sudden give the ability to change the gender of what is already seen as an established character by many people.
Yeah, it would get tedious if one had to sit and listen and not be able to do anything during the times of dialogue, but that already sort of exists in Zelda anyway through text. Games that make proficient use of VA don't let it hamper the experience or let it become heavy-handed, they include dialogue during times of gameplay, such as traversal (of which there would be plenty in an open-world Zelda) or through cutscenes. There are many ways to screw up VA, but there are also many examples of VA done right.
It doesn't necessarily have to be the kind that sits you down and doesn't let you skip or escape from the ramblings of plot exposition.
The difference between text boxes and voice clips is that I can manipulate and speed up the text boxes if I desire. When you put voice clips into the mix that creates a period of time that the cutscene goes on for, and with how cutscenes in Zelda games are currently handled it would probably take a while to get through them with the addition of voice clips. You may see the omission of voice acting as archaic, but I see it as a blessing in disguise when it comes to this franchise in particular.