At a Novus Ordo mass, this would make you practically anathema maranatha.
But at the Tridentine, it is tolerated. Because of a different understanding, or at least emphasis, about the Mass.
It certainly isn’t encouraged. As Pope St. Pius X said, following along with the actions at the altar is ideal.
BUT, the Mass happens without your participation, and just being there fullfills your obligation.
In an age where Latin-English missals can be cheaply printed, and literacy is common…following along is highly recommended. But as long as your at the Mass, you fullfill your obligation and are benefitted. And in ages and places where literacy was not common…well, what else could you really expect the people to do? Liturgy was not supposed to be this show, this theatre, this closed-circle interactive session between priest and people. It was public, and thus more impersonal, ritual cultus to God. And so if people can’t read, and so get more benefit praying their rosary individually, the public liturgy happens nonetheless and this is tolerable.
Still, if at all possible, following along in a missal is recommended.
In the old rite, you emphasize God and so get a community. But when you emphasize the community…you only get individuals.
In the old days, there was Catholic cohesion as a culture and community even though the emphasis in the liturgy (as demonstrated by things like people praying the rosary individually during mass) was not on the community. Then, even though this formula was tried and true, they decided to try to wipe out stuff like this and emphasize the community during mass…and ironically, it is community that they lost…