Not both. Pentecostals have been directly targeting Catholics throughout SA for decades. They finally started getting some traction this millennium.
On second thought, what you say is more likely true, since I would imagine the conversion of non-Catholics in a Catholic country would not pose a serious threat to the Church.
If I were a Pentecostal, and I know many Pentecostals, I would want all the world to be converted to my form of Christianity, believing it to be the truest form of Christian discipleship. Why? Because a Pentecostal sees “true Christianity” as demonstrating the Baptism of the Holy Spirit (in the NT resulting from the laying on of hands by John, Peter, Paul and others which resulted in gifts of the Holy Spirit, such as, speaking in tongues, word of knowledge, working of miracles, prophecy, and other gifts, mentioned in the letters of Paul). They see the Catholic Church at best as a Christian church that has lost the Baptism of the Holy Spirit and the gifts, and at worst, as the great harlot of Babylon depicted in Revelations 17, the apostate church of Christ. So, their activities may be proselytization, but it is done so in an honest attempt to save souls, just as Catholics try to convert people from paganism or other beliefs contrary to Christ.
Catholics strongly rooted in the Holy Eucharist and devotion to Our Lady are not susceptible to the Pentecostal doctrine, but weaker Catholics, not well grounded in their faith, are easy prey. Pentecostals I have known could not understand my Catholicism. They thought I was engaged in idol worship, both from the fact of Catholic statues (graven images) and “idolatry” toward Mary. They believed I had the Holy Spirit, but this was inconsistent with their notion of what Catholic believe. I was a puzzlement to them. Bridges between Catholicism and Pentecostalism need to be built. These separated brethren are so close and yet so far away. They live in really loving fellowship, more demonstrative than Catholics in general, but they have no clue about the depth and riches of God in Catholicism, especially the Holy Eucharist, and Our Lady.
Unfortunately, too, Pentecostals are rejected by many other Christian denominations because of their unconventional views. I know a Baptist family split apart on this very issue. Pentecostals are sometimes included under the broader heading of evangelical, although many evangelicals, I am sure, would not think of them as such. My own opinion is that all Christian denominations need to celebrate more what they have in common than focus on their differences. Arguing at each other and talking past each other is not fruitful. All who love Christ should be friends and on that basis maybe some day they will all come to embrace the fullness of His truth.