Contemporary with Babay the Great at Bet-Abe, was Shubḥalmaran. In 2004, David Lane published his work, starting with The Book of Gifts. We are learning that Babay presided over a revolution in Eastern monasticism.
It was under Babay, that the Eastern monks adopted Evagrius the Pontic. Jerome himself (letter 133) had attacked this Evagrius; but I suppose later readers figured that Jerome attacks everybody so who-cares. A more pointed condemnation occurred under Justinian's synod AD 553 if you want to count that. Latin ℭ𝔥𝔯𝔦𝔰𝔱𝔢𝔫𝔱𝔲𝔪 will know Evagrius for listing the Se7en; well, eight, but we Latins merge sadness with wider acedia.
Among Babay's students was one Ishoʿyahb - Ishoʿyahb III. One of his first preserved epistles is Babay's eulogy. They were, then, in the same party. The present Paradise came from that catholicate. But not all east-Syrians agreed with Ishoʿyahb; and some dissidents may have looked askance at Babay as well. These dissidents are those who preserved Shubḥalmaran, and pieces of what became the Paradise.
Those scraps were collected at Sinai, whence M20N. The monks and nuns at Sinai would not consider themselves "Nestorians". Nonetheless they did keep these Oriental books... as, in the Orient, mah boi Jerome was translated.
Shubḥalmaran is in Ishoʿdnaḥ's book, and he contributed to the AD 612 debate. Otherwise - we're learning - Shubḥalmaran was a holdout of the old-school, from the days of Aphraates. Possibly how come Babay was NOT invited to the debate.
It may be that anti-Evagrian dissidents gathered under Shimʿon. After various synods, like that in Dirin, healed that schism; it may be that diehards fled west and bent the knee to us Melkites and Catholics.