I would dare say not.
There are many apostolic churches that do not teach these same things.
Name one.
Although some people think that the Catholic Church is equivalent to the Latin or Roman rite, this is a misconception. The Roman rite is by far the largest and most widely diffused in the world, but the Catholic Church is composed of 23 distinct Churches or rites. According to the Annuario Pontificio, Eastern Catholics number about 16.3 million.
The Code of Canons of the Eastern Churches defines “rite” as follows:
“Rite is the liturgical, theological, spiritual and disciplinary heritage, distinguished according to peoples’ culture and historical circumstances, that finds expression in each autonomous church’s way of living the faith.”
Therefore, “rite” concerns not only a Church’s liturgy, but also its theology, spirituality and law. In some cases it might also involve ethnicity and language. Because of this, many members of these rites prefer to speak about Churches rather than rites. Others say that “Church” refers to the people, and “rite” to their spiritual and cultural heritage and patrimony.
Not all of the 23 Churches have a distinct liturgy or differ only in the language used or in local traditions. Traditionally there are six major liturgical families: the Latin, Alexandrian, Antiochian, Armenian, Chaldean and Constantinopolitan (sometimes called Byzantine).
At the end of the day, they all teach the same thing. Different cultures are adapted without compromising the Gospel, "...so that all men may be saved."