Hell no.
Fully-voiced protagonists are good for games where the player character has a defined personality. For games where their personality is meant to be decided on by the player, voiced protagonists can sound dissonant at best, and bipolar at worst.
For example, Shepard in Mass Effect is always more or less the same person no matter what morality path you choose, since Paragon and Renegade are just about how dickish you want to act. In Dragon Age II, where Hawke's personality wasn't set in stone, the VA would switch between three really distinct personalities depending on your choice. So in one line Hawke sounds like a gritty, violent psycho and on the next line Hawke will sound like a plucky jokester.
Also, having to voice every dialogue line costs time and money. This would lead to less options in conversations just from a financial perspective.
I would say inquisition did a good job at it. My inquisitor felt unique in each case. Albeit inquisition was made by a much larger team then Larian has, and is closer to a AAAA game while BG3 is a AA game. Having reasonable expectations that we wont have voiced MC, but i would still want it
