No, no, no. More Roman succesor states or more patriarchs would lead to more, not less fractures. Meaning you won't get just a West-East split, but for example Far West - Northwest - Middle - East - Southeast split.
To avoid a schism, IMO, you'd need a single authority interested in keeping the Church united no matter what - meaning an Emperor of united Roman Empire.
To avoid a schism, IMO, you'd need a single authority interested in keeping the Church united no matter what - meaning an Emperor of united Roman Empire.