I don't know what you mean by "conservative" Catholic.
The Latin Mass has already been banned once and this pope would seem to like to see traditionalists bite the dirt.
The Latin mass was never banned; in fact, it was specifically encouraged during the course of Vatican II and again during JPII’s and Benedict’s papacies. But because the idea of local-language mass WASN’T banned, the sheer newness of the freedom to say and participate in an essentially Latin-free liturgy quickly superseded any Vatican encouragements to retain the Latin.
A “conservative” Catholic is basically an orthodox traditionalist—often, but not always, a supporter of the tridentine mass. In general, I suppose, a fifties Catholic.