Yes, the Ruthenian Orthodox of today is an oblique reference to the American Carpetho-Rusyn Orthodox Diocese… whose website used to refer to themselves as Ruthenian Orthodox in some subsidiary pages.
The OCA were an inevitability… the creation of the OCA (under its prior names) was boosted by the 1st Ruthenian-American Schism, but the Russian Orthodox Church In America was already extant as a diocese starting in 1840… under founding bishop Innokenti Veniaminov… When Alaska was purchased in 1867, the OCA became an inevitability.
But further, St. Alexis was not part of a corporate schism; his was a personal schism, which lead to others coming in one at a time, each a priest in personal schism. In part, that was because there was no EC particular church in the US at that time; only a handful were in fact legitimately Catholic - and even those were in violation of canon law, since the 1st Baltimore Council forbade the use of any missal except the Roman.
Now, admittedly they were mistreated by ignorant Roman Church Bishops. But St. Alexis lead them into schism, when the choices were schism by Orthodox Reunion, schism by unauthorized parishes (which many already had), or return to Europe and the Middle East.
Their schism, however, also paved the way for Rome’s overriding the 3rd Canon of 1st Baltimore… along with the suppression of Dominicans’ use of the Dominican rite.
The ACROD, ironicly, rejected the Nikonian Recension, as their Ruthenian forefathers had, and in preserving their church, their Ruthenian Identity, and their Ruthenian Liturgy, fled to the protection of Constantinople’s Omophor, instead. Theirs was a true schism of the Eparchy; a group of priests, together, leaving one church for another, and creating a new particular Church (by the graces of the EP).