To be fair, the first Christian missionaries in East Asia were actually not Catholic. They were Nestorians.
However, I see hard time for Protestant missions in the area for lack of push factors. My understanding is that serious missionary work outside Europe was pretty low priority for most Protestant churches and (critically) their state backers before the nineteenth century. As most Protestant churches were either distinctly national in character (and in many cases, virtually extensions of the State) or represented minorities in their own countries of orgin, they would be either hardly interested in mass conversion of distant and alien strangers, or organizationally challenged to put out the effort.
Also, the Protestant powers with a significant presence in East Asia operated through chartered trading companies who generally discouraged missionary activity as "bad for business" (both the VOC and the EIC were very vocal on that). So did the equivalent French company, to be fair, but it was harder for the French to rein the missionaries in as Versailles had some political reason to support them (while the Estates and Whitehall usually had none). Catholic Iberian powers operated through a more directly state managed effort that implied missionary activity, and of course Rome set out its own (often competing, as in, Dominicans vs. Franciscans vs. Jesuits) activities.