Yes, they do, otherwise what was the whole point behind Pope St. Stephen’s altercation with St. Cyprian of Carthage:
Note that the article you provided itself quotes the interpretation of St. Basil’s first canon, given by the Russian Church Abroad: “Thus, St. Basil the Great, and by his words the Ecumenical Council in confirming the principle that there is no genuine baptism outside the Holy Orthodox Church, allows, out of pastoral condescension, which is called economy, the acceptance of certain heretics and schismatics without a new baptism.”
The article is thus not itself actually arguing that there exists true baptism outside of the Church, but rather that out of pastoral condescension and mercy, it is prudent to follow the general rule established by the Ecumenical Councils, namely that Those who have the least degree of dogmatic error are to be received by way of repentance and a repudiation of heresy, under the condition that their church structure preserved apostolic succession. Others, whose dogmatic teaching has undergone a greater distortion or who have not preserved apostolic succession although they were baptized as in the Orthodox Church in the name of the Holy Trinity by triple immersion, are to be received by the second rite, namely, by way of a repudiation of heretical distortions and anointing with the holy Chrism. The third group, whose baptism is not performed in the name of the Holy Trinity with triple immersion, is to be received by way of baptism, which also applies to Jews, Muslims and pagans. The teachings of this group of heretics usually consist of a complete innovation or an admixture of Judaism or paganism with the basic principles of Christianity. But in no way is there any kind of a church structure or apostolic succession, as we understand it.
Based, however, on this conclusion given by the author, I must say that your interpretation of the article is inconsistent. This is because if the author were arguing that the authority of Canon 95 of the Penthekte has bound the Church and made it impossible for bishops to select which rite should be used under any given circumstances (which is what you seem to be arguing), it would be untenable for the author then to quote St. Mark of Ephesus and the Synod of 1484, which did not prescribe that Latins be received by the third rite (as the principle derived from canon 95 of the Penthekte should imply), but by the second rite. Indeed, the differing canons do, from the Orthodox perspective, give the bishop or synod the ability to determine by which rite converts should be received, because as the oikonomos, the bishop has the power to determine how the canons should be applied.
It is true that a rigoristic position whereby one does not recognize any reception into the church besides that of the first rite is indeed not acceptable within Orthodoxy, but I have not seen anybody in this thread actually argue for such a position, only instead arguing that a certain diversity of practice is acceptable (indeed, the practice of the Russians to receive Latins by the third rite, despite earlier rulings that they should be received by the second rite is proof that the Russians recognize sacramental economy in principle).