WRONG.
Ignatius of Antioch's writings are the first place we see "The Catholic Church" being used as a TITLE - not a mere description.
His Letter to the Smyrnaeans was written at the beginning of the 2nd century - while the Apostle John was still alive:
Ignatius of Antioch
Follow your bishop, every one of you, as obediently as Jesus Christ followed the Father. Obey your clergy too as you would the apostles; give your deacons the same reverence that you would to a command of God. Make sure that no step affecting the Church is ever taken by anyone without the bishop’s sanction. The sole Eucharist you should consider valid is one that is celebrated by the bishop himself, or by some person authorized by him. Where the bishop is to be seen, there let all his people be; just as, wherever Jesus Christ is present, there is the Catholic Church (Letter to the Smyrneans 8:2 [A.D. 110]).
"Eucharist", obedience to Bishops and clergy - this doesn't sound "Protestant" at all - but CATHOLIC.
Here is the description of that "Catholic Church" from some other Early Church Fathers:
Irenaeus
The Catholic Church possesses one and the same faith throughout the whole world, as we have already said (Against Heresies 1:10 [A.D. 189]).
Irenaeus
But since it would be too long to enumerate in such a volume as this the succession of all the churches, we shall confound all those who, in whatever manner, whether through self-satisfaction or vainglory, or through blindness and wicked opinion, assemble other than where it is proper, by pointing out here the successions of the bishops of the greatest and most ancient church known to all, founded and organized at Rome by the two most glorious apostles. Peter and Paul, that church which has the tradition and the faith which comes down to us after having been announced to men by the apostles. With that church, because of its superior origin, all the churches must agree, that is, all the faithful in the whole world, and it is in her that the faithful everywhere have maintained the apostolic tradition (Against Heresies 3:3:2 [inter A.D. 180-190]).
Tertullian
Where was Marcion then, that shipmaster of Pontus, the zealous student of Stoicism? Where was Valentinus then, the disciple of Platonism? For it is evident that those men lived not so long ago – in the reign of Antoninus for the most part – and that they at first were believers in the doctrine of the Catholic Church, in the church of Rome under the episcopate of the blessed Eleutherus, until on account of their ever restless curiosity, with which they even infected the brethren, they were more than once expelled (On the Prescription Against Heretics 22,30 [A.D.200])
Cyprian
The spouse of Christ cannot be defiled; Does anyone believe that this unity which comes from divine strength, which is closely connected with the divine sacraments, can be broken asunder in the Church and be separated by the divisions of colliding wills? He who does not hold this unity, does not hold the law of God, does not hold the faith of the Father and the Son, does not hold life and salvation (On the Unity of the Catholic Church 6 [A.D. 251]).
Peter speaks there, on whom the Church was to be built, teaching and showing in the name of the Church, that although a rebellious and arrogant multitude of those who will not hear or obey may depart, yet the Church does not depart from Christ; and they are the Church who are a people united to the priest, and the flock which adheres to its pastor. Whence you ought to know that the bishop is in the Church, and the Church in the bishop; and if any one be not with the bishop, that he is not in the Church, and that those flatter themselves in vain who creep in, not having peace with God’s priests, and think that they communicate secretly with some; while the Church which is Catholic and one, is not cut nor divided, but is indeed connected and bound together by the cement of priests who cohere with one another (Letters 66 [A.D. 253]).
With a false bishop appointed for themselves by heretics, they dare even to set sail and carry letters from schismatics and blasphemers to the Chair of Peter and to the principal church [at Rome], IN WHICH SACERDOTAL UNITY HAS ITS SOURCE" (Epistle to Cornelius [Bishop of Rome] 59:14 [A.D. 252]).